312131303131213 has 4 divisors (see below), whose sum is σ = 312198327250780. Its totient is φ = 312064279011648.

The previous prime is 312131303131171. The next prime is 312131303131301.

It is a happy number.

312131303131213 is nontrivially palindromic in base 10.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 34495629396804 + 277635673734409 = 5873298^2 + 16662403^2 .

It is a cyclic number.

It is not a de Polignac number, because 312131303131213 - 2³³ = 312122713196621 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312131303134213) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 33512052798 + ... + 33512062111.

It is an arithmetic number, because the mean of its divisors is an integer number (78049581812695).

Almost surely, 2^{312131303131213} is an apocalyptic number.

It is an amenable number.

312131303131213 is a deficient number, since it is larger than the sum of its proper divisors (67024119567).

312131303131213 is an equidigital number, since it uses as much as digits as its factorization.

312131303131213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67024119566.

The product of its (nonzero) digits is 2916, while the sum is 28.

It can be divided in two parts, 31213130 and 3131213, that added together give a palindrome (34344343).

The spelling of 312131303131213 in words is "three hundred twelve trillion, one hundred thirty-one billion, three hundred three million, one hundred thirty-one thousand, two hundred thirteen".