131513460 has 96 divisors (see below), whose sum is σ = 399745920. Its totient is φ = 32113152.

The previous prime is 131513449. The next prime is 131513477. The reversal of 131513460 is 64315131.

It is a super-2 number, since 2×131513460² = 34591580322343200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 131513460.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 107814 + ... + 109026.

It is an arithmetic number, because the mean of its divisors is an integer number (4164020).

Almost surely, 2^131513460 is an apocalyptic number.

131513460 is a gapful number since it is divisible by the number (10) 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 131513460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199872960).

131513460 is an abundant number, since it is smaller than the sum of its proper divisors (268232460).

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

131513460 is a wasteful number, since it uses less digits than its factorization.

131513460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1377 (or 1375 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 131513460 is about 11467.9318100519. The cubic root of 131513460 is about 508.5379889611.

Adding to 131513460 its reverse (64315131), we get a palindrome (195828591).

It can be divided in two parts, 131 and 513460, that added together give a triangular number (513591 = T₁₀₁₃).

The spelling of 131513460 in words is "one hundred thirty-one million, five hundred thirteen thousand, four hundred sixty".