131312013 has 24 divisors (see below), whose sum is σ = 204236928. Its totient is φ = 74825856.

The previous prime is 131312011. The next prime is 131312033. The reversal of 131312013 is 310213131.

It is not a de Polignac number, because 131312013 - 2¹ = 131312011 is a prime.

It is a super-2 number, since 2×131312013² = 34485689516224338, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 131311983 and 131312001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131312011) 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, 62620 + ... + 64682.

It is an arithmetic number, because the mean of its divisors is an integer number (8509872).

Almost surely, 2^131312013 is an apocalyptic number.

It is an amenable number.

131312013 is a deficient number, since it is larger than the sum of its proper divisors (72924915).

131312013 is a wasteful number, since it uses less digits than its factorization.

131312013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2513 (or 2506 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

The square root of 131312013 is about 11459.1453869824. The cubic root of 131312013 is about 508.2782036304.

Adding to 131312013 its reverse (310213131), we get a palindrome (441525144).

The spelling of 131312013 in words is "one hundred thirty-one million, three hundred twelve thousand, thirteen".