131330012013 has 20 divisors (see below), whose sum is σ = 199509504480. Its totient is φ = 86069383272.

The previous prime is 131330012003. The next prime is 131330012017. The reversal of 131330012013 is 310210033131.

It is a happy number.

131330012013 is a `hidden beast` number, since 131 + 330 + 0 + 1 + 201 + 3 = 666.

It is not a de Polignac number, because 131330012013 - 2⁶ = 131330011949 is a prime.

It is a super-3 number, since 3×131330012013³ (a number of 34 digits) contains 333 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131330012017) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 13735545 + ... + 13745102.

It is an arithmetic number, because the mean of its divisors is an integer number (9975475224).

Almost surely, 2^131330012013 is an apocalyptic number.

It is an amenable number.

131330012013 is a deficient number, since it is larger than the sum of its proper divisors (68179492467).

131330012013 is an equidigital number, since it uses as much as digits as its factorization.

131330012013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27480718 (or 27480709 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 131330012013 its reverse (310210033131), we get a palindrome (441540045144).

The spelling of 131330012013 in words is "one hundred thirty-one billion, three hundred thirty million, twelve thousand, thirteen".