131410513 has 12 divisors (see below), whose sum is σ = 147208860. Its totient is φ = 117114816.

The previous prime is 131410501. The next prime is 131410577. The reversal of 131410513 is 315014131.

It can be written as a sum of positive squares in 6 ways, for example, as 8133904 + 123276609 = 2852^2 + 11103^2 .

It is a de Polignac number, because none of the positive numbers 2^k-131410513 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (131410313) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8506 + ... + 18307.

It is an arithmetic number, because the mean of its divisors is an integer number (12267405).

Almost surely, 2^131410513 is an apocalyptic number.

131410513 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

131410513 is a deficient number, since it is larger than the sum of its proper divisors (15798347).

131410513 is a wasteful number, since it uses less digits than its factorization.

131410513 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26868 (or 26855 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 19.

The square root of 131410513 is about 11463.4424585288. The cubic root of 131410513 is about 508.4052620484.

Adding to 131410513 its reverse (315014131), we get a palindrome (446424644).

The spelling of 131410513 in words is "one hundred thirty-one million, four hundred ten thousand, five hundred thirteen".