312001313211 has 96 divisors (see below), whose sum is σ = 550193402880. Its totient is φ = 174155147712.

The previous prime is 312001313179. The next prime is 312001313233. The reversal of 312001313211 is 112313100213.

312001313211 is a `hidden beast` number, since 312 + 0 + 0 + 1 + 31 + 321 + 1 = 666.

It is not a de Polignac number, because 312001313211 - 2⁵ = 312001313179 is a prime.

It is not an unprimeable number, because it can be changed into a prime (312001313251) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 34008421 + ... + 34017593.

It is an arithmetic number, because the mean of its divisors is an integer number (5731181280).

Almost surely, 2^312001313211 is an apocalyptic number.

312001313211 is a deficient number, since it is larger than the sum of its proper divisors (238192089669).

312001313211 is a wasteful number, since it uses less digits than its factorization.

312001313211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9790 (or 9777 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 312001313211 its reverse (112313100213), we get a palindrome (424314413424).

The spelling of 312001313211 in words is "three hundred twelve billion, one million, three hundred thirteen thousand, two hundred eleven".