312131404131213 has 16 divisors (see below), whose sum is σ = 418685564828160. Its totient is φ = 206832531977136.

The previous prime is 312131404131187. The next prime is 312131404131299.

It is a happy number.

312131404131213 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 312131404131213 - 2⁵ = 312131404131181 is a prime.

It is a super-2 number, since 2×312131404131213² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312131404151213) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2122423 + ... + 25075236.

It is an arithmetic number, because the mean of its divisors is an integer number (26167847801760).

Almost surely, 2^{312131404131213} is an apocalyptic number.

It is an amenable number.

312131404131213 is a deficient number, since it is larger than the sum of its proper divisors (106554160696947).

312131404131213 is a wasteful number, since it uses less digits than its factorization.

312131404131213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27220736.

The product of its (nonzero) digits is 5184, while the sum is 30.

It can be divided in two parts, 31213140 and 4131213, that added together give a palindrome (35344353).

The spelling of 312131404131213 in words is "three hundred twelve trillion, one hundred thirty-one billion, four hundred four million, one hundred thirty-one thousand, two hundred thirteen".