312210101012213 has 16 divisors (see below), whose sum is σ = 321268929004800. Its totient is φ = 303221879654400.

The previous prime is 312210101012143. The next prime is 312210101012261.

312210101012213 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 312210101012213 - 2¹⁸ = 312210100750069 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312210101012713) 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, 1977638 + ... + 25066536.

It is an arithmetic number, because the mean of its divisors is an integer number (20079308062800).

Almost surely, 2^{312210101012213} is an apocalyptic number.

It is an amenable number.

312210101012213 is a deficient number, since it is larger than the sum of its proper divisors (9058827992587).

312210101012213 is a wasteful number, since it uses less digits than its factorization.

312210101012213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23090428.

The product of its (nonzero) digits is 144, while the sum is 20.

It can be divided in two parts, 31221010 and 1012213, that added together give a palindrome (32233223).

The spelling of 312210101012213 in words is "three hundred twelve trillion, two hundred ten billion, one hundred one million, twelve thousand, two hundred thirteen".