131233312013 has 8 divisors (see below), whose sum is σ = 139020115320. Its totient is φ = 123453975040.

The previous prime is 131233311991. The next prime is 131233312039. The reversal of 131233312013 is 310213332131.

It can be written as a sum of positive squares in 4 ways, for example, as 43899468484 + 87333843529 = 209522^2 + 295523^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 131233312013 - 2⁶ = 131233311949 is a prime.

It is a super-2 number, since 2×131233312013² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 131233312013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131233312913) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1830368 + ... + 1900713.

It is an arithmetic number, because the mean of its divisors is an integer number (17377514415).

Almost surely, 2^131233312013 is an apocalyptic number.

It is an amenable number.

131233312013 is a deficient number, since it is larger than the sum of its proper divisors (7786803307).

131233312013 is a wasteful number, since it uses less digits than its factorization.

131233312013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3733167.

The product of its (nonzero) digits is 972, while the sum is 23.

Adding to 131233312013 its reverse (310213332131), we get a palindrome (441446644144).

The spelling of 131233312013 in words is "one hundred thirty-one billion, two hundred thirty-three million, three hundred twelve thousand, thirteen".