312414123202013 has 32 divisors (see below), whose sum is σ = 359150348476416. Its totient is φ = 266207939218368.

The previous prime is 312414123201877. The next prime is 312414123202021. The reversal of 312414123202013 is 310202321414213.

It is a happy number.

It is not a de Polignac number, because 312414123202013 - 2²⁰ = 312414122153437 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312414123202063) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3389385995 + ... + 3389478167.

It is an arithmetic number, because the mean of its divisors is an integer number (11223448389888).

Almost surely, 2^{312414123202013} is an apocalyptic number.

It is an amenable number.

312414123202013 is a deficient number, since it is larger than the sum of its proper divisors (46736225274403).

312414123202013 is a wasteful number, since it uses less digits than its factorization.

312414123202013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95433.

The product of its (nonzero) digits is 6912, while the sum is 29.

Adding to 312414123202013 its reverse (310202321414213), we get a palindrome (622616444616226).

The spelling of 312414123202013 in words is "three hundred twelve trillion, four hundred fourteen billion, one hundred twenty-three million, two hundred two thousand, thirteen".