131525310 has 96 divisors (see below), whose sum is σ = 370541952. Its totient is φ = 29789760.

The previous prime is 131525309. The next prime is 131525323. The reversal of 131525310 is 13525131.

It is a super-2 number, since 2×131525310² = 34597814341192200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 192229 + ... + 192911.

It is an arithmetic number, because the mean of its divisors is an integer number (3859812).

Almost surely, 2^131525310 is an apocalyptic number.

131525310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 131525310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185270976).

131525310 is an abundant number, since it is smaller than the sum of its proper divisors (239016642).

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

131525310 is a wasteful number, since it uses less digits than its factorization.

131525310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 838 (or 831 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 21.

The square root of 131525310 is about 11468.4484565263. The cubic root of 131525310 is about 508.5532624146.

The spelling of 131525310 in words is "one hundred thirty-one million, five hundred twenty-five thousand, three hundred ten".