312411303114213 has 16 divisors (see below), whose sum is σ = 426261551783936. Its totient is φ = 203418218611440.

The previous prime is 312411303114181. The next prime is 312411303114301.

It is a happy number.

312411303114213 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 312411303114213 - 2⁵ = 312411303114181 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 (312411303113213) 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, 71668645 + ... + 75902682.

It is an arithmetic number, because the mean of its divisors is an integer number (26641346986496).

Almost surely, 2^{312411303114213} is an apocalyptic number.

It is an amenable number.

312411303114213 is a deficient number, since it is larger than the sum of its proper divisors (113850248669723).

312411303114213 is a wasteful number, since it uses less digits than its factorization.

312411303114213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147587784.

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

It can be divided in two parts, 31241130 and 3114213, that added together give a palindrome (34355343).

The spelling of 312411303114213 in words is "three hundred twelve trillion, four hundred eleven billion, three hundred three million, one hundred fourteen thousand, two hundred thirteen".