312162261213 has 32 divisors (see below), whose sum is σ = 456771571200. Its totient is φ = 188057854400.

The previous prime is 312162261163. The next prime is 312162261241.

312162261213 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 312162261213 - 2¹⁸ = 312161999069 is a prime.

It is a super-2 number, since 2×312162261213² (a number of 24 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312162261263) 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, 17351683 + ... + 17369663.

It is an arithmetic number, because the mean of its divisors is an integer number (14274111600).

Almost surely, 2^312162261213 is an apocalyptic number.

312162261213 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

312162261213 is a deficient number, since it is larger than the sum of its proper divisors (144609309987).

312162261213 is a wasteful number, since it uses less digits than its factorization.

312162261213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21113.

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

It can be divided in two parts, 312162 and 261213, that added together give a palindrome (573375).

The spelling of 312162261213 in words is "three hundred twelve billion, one hundred sixty-two million, two hundred sixty-one thousand, two hundred thirteen".