312311262113213 has 24 divisors (see below), whose sum is σ = 343393117610424. Its totient is φ = 283829327907840.

The previous prime is 312311262113173. The next prime is 312311262113233.

It is a happy number.

312311262113213 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 208402657800964 + 103908604312249 = 14436158^2 + 10193557^2 .

It is not a de Polignac number, because 312311262113213 - 2⁸ = 312311262112957 is a prime.

It is a super-3 number, since 3×312311262113213³ (a number of 44 digits) contains 333 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 312311262113213.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312311262113233) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5853650945 + ... + 5853704297.

It is an arithmetic number, because the mean of its divisors is an integer number (14308046567101).

Almost surely, 2^{312311262113213} is an apocalyptic number.

It is an amenable number.

312311262113213 is a deficient number, since it is larger than the sum of its proper divisors (31081855497211).

312311262113213 is a wasteful number, since it uses less digits than its factorization.

312311262113213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67805 (or 67794 counting only the distinct ones).

The product of its digits is 7776, while the sum is 32.

The spelling of 312311262113213 in words is "three hundred twelve trillion, three hundred eleven billion, two hundred sixty-two million, one hundred thirteen thousand, two hundred thirteen".