312101202101213 has 16 divisors (see below), whose sum is σ = 366735063959040. Its totient is φ = 260027487446400.

The previous prime is 312101202101167. The next prime is 312101202101257.

312101202101213 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 312101202101213 - 2¹⁴ = 312101202084829 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312101202161213) 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, 2006307158 + ... + 2006462711.

It is an arithmetic number, because the mean of its divisors is an integer number (22920941497440).

Almost surely, 2^{312101202101213} is an apocalyptic number.

It is an amenable number.

312101202101213 is a deficient number, since it is larger than the sum of its proper divisors (54633861857827).

312101202101213 is a wasteful number, since it uses less digits than its factorization.

312101202101213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4012770188.

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

It can be divided in two parts, 31210120 and 2101213, that added together give a palindrome (33311333).

The spelling of 312101202101213 in words is "three hundred twelve trillion, one hundred one billion, two hundred two million, one hundred one thousand, two hundred thirteen".