131001312 has 96 divisors (see below), whose sum is σ = 380473632. Its totient is φ = 39204864.

The previous prime is 131001301. The next prime is 131001317. The reversal of 131001312 is 213100131.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×131001312² = 34322687491442688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131001317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44758 + ... + 47594.

It is an arithmetic number, because the mean of its divisors is an integer number (3963267).

Almost surely, 2^131001312 is an apocalyptic number.

131001312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131001312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190236816).

131001312 is an abundant number, since it is smaller than the sum of its proper divisors (249472320).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

131001312 is a wasteful number, since it uses less digits than its factorization.

131001312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2900 (or 2892 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 131001312 is about 11445.5804571022. The cubic root of 131001312 is about 507.8770033099.

Adding to 131001312 its reverse (213100131), we get a palindrome (344101443).

It can be divided in two parts, 13100131 and 2, that multiplied together give a palindrome (26200262).

The spelling of 131001312 in words is "one hundred thirty-one million, one thousand, three hundred twelve".