312131202131213 has 8 divisors (see below), whose sum is σ = 312855221562048. Its totient is φ = 311407270243264.

The previous prime is 312131202131179. The next prime is 312131202131237.

312131202131213 is nontrivially palindromic in base 10.

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 312131202131213 - 2¹² = 312131202127117 is a prime.

It is a super-2 number, since 2×312131202131213² (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312131202131713) 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, 14743820 + ... + 29011077.

It is an arithmetic number, because the mean of its divisors is an integer number (39106902695256).

Almost surely, 2^{312131202131213} is an apocalyptic number.

It is an amenable number.

312131202131213 is a deficient number, since it is larger than the sum of its proper divisors (724019430835).

312131202131213 is a wasteful number, since it uses less digits than its factorization.

312131202131213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43771443.

The product of its (nonzero) digits is 1296, while the sum is 26.

It can be divided in two parts, 31213120 and 2131213, that added together give a palindrome (33344333).

The spelling of 312131202131213 in words is "three hundred twelve trillion, one hundred thirty-one billion, two hundred two million, one hundred thirty-one thousand, two hundred thirteen".