131010152 has 96 divisors (see below), whose sum is σ = 309196800. Its totient is φ = 50948352.

The previous prime is 131010133. The next prime is 131010157. The reversal of 131010152 is 251010131.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is not an unprimeable number, because it can be changed into a prime (131010157) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1031513 + ... + 1031639.

It is an arithmetic number, because the mean of its divisors is an integer number (3220800).

Almost surely, 2^131010152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131010152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154598400).

131010152 is an abundant number, since it is smaller than the sum of its proper divisors (178186648).

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

131010152 is a wasteful number, since it uses less digits than its factorization.

131010152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 14.

The square root of 131010152 is about 11445.9666258469. The cubic root of 131010152 is about 507.8884269403. Note that the first 3 decimals are identical.

Adding to 131010152 its reverse (251010131), we get a palindrome (382020283).

The spelling of 131010152 in words is "one hundred thirty-one million, ten thousand, one hundred fifty-two".