312110000011213 has 32 divisors (see below), whose sum is σ = 321710777665632. Its totient is φ = 302680080384000.

The previous prime is 312110000011141. The next prime is 312110000011223.

It is a happy number.

312110000011213 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 16 ways, for example, as 7610745702564 + 304499254308649 = 2758758^2 + 17449907^2 .

It is a cyclic number.

It is not a de Polignac number, because 312110000011213 - 2¹⁷ = 312109999880141 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312110000011223) 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, 5594043045 + ... + 5594098837.

It is an arithmetic number, because the mean of its divisors is an integer number (10053461802051).

Almost surely, 2^{312110000011213} is an apocalyptic number.

It is an amenable number.

312110000011213 is a deficient number, since it is larger than the sum of its proper divisors (9600777654419).

312110000011213 is a wasteful number, since it uses less digits than its factorization.

312110000011213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59745.

The product of its (nonzero) digits is 36, while the sum is 16.

It can be divided in two parts, 3121100000 and 11213, that added together give a palindrome (3121111213).

The spelling of 312110000011213 in words is "three hundred twelve trillion, one hundred ten billion, eleven thousand, two hundred thirteen".