312401323104213 has 16 divisors (see below), whose sum is σ = 476115685516800. Its totient is φ = 178486701478896.

The previous prime is 312401323104197. The next prime is 312401323104217.

312401323104213 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 312401323104213 - 2⁴ = 312401323104197 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312401323104217) 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, 1180710195 + ... + 1180974752.

It is an arithmetic number, because the mean of its divisors is an integer number (29757230344800).

Almost surely, 2^{312401323104213} is an apocalyptic number.

It is an amenable number.

312401323104213 is a deficient number, since it is larger than the sum of its proper divisors (163714362412587).

312401323104213 is a wasteful number, since it uses less digits than its factorization.

312401323104213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2361691256.

The product of its (nonzero) digits is 10368, while the sum is 30.

The spelling of 312401323104213 in words is "three hundred twelve trillion, four hundred one billion, three hundred twenty-three million, one hundred four thousand, two hundred thirteen".