131015700 has 108 divisors (see below), whose sum is σ = 413840700. Its totient is φ = 34667520.

The previous prime is 131015693. The next prime is 131015713. The reversal of 131015700 is 7510131.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 1192464 + 129823236 = 1092^2 + 11394^2 .

It is a super-2 number, since 2×131015700² = 34330227292980000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 133612 + ... + 134588.

Almost surely, 2^131015700 is an apocalyptic number.

131015700 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 131015700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206920350).

131015700 is an abundant number, since it is smaller than the sum of its proper divisors (282825000).

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

131015700 is a wasteful number, since it uses less digits than its factorization.

131015700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1146 (or 1136 counting only the distinct ones).

The product of its (nonzero) digits is 105, while the sum is 18.

The square root of 131015700 is about 11446.2089793958. The cubic root of 131015700 is about 507.8955961690.

Adding to 131015700 its reverse (7510131), we get a palindrome (138525831).

The spelling of 131015700 in words is "one hundred thirty-one million, fifteen thousand, seven hundred".