312213111114321 has 48 divisors (see below), whose sum is σ = 471137116349952. Its totient is φ = 198857631772800.

The previous prime is 312213111114211. The next prime is 312213111114353. The reversal of 312213111114321 is 123411111312213.

312213111114321 is a `hidden beast` number, since 3 + 1 + 2 + 2 + 1 + 311 + 11 + 14 + 321 = 666.

It is not a de Polignac number, because 312213111114321 - 2³⁰ = 312212037372497 is a prime.

It is a super-2 number, since 2×312213111114321² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (312213111184321) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2567037891 + ... + 2567159511.

It is an arithmetic number, because the mean of its divisors is an integer number (9815356590624).

Almost surely, 2^{312213111114321} is an apocalyptic number.

It is an amenable number.

312213111114321 is a deficient number, since it is larger than the sum of its proper divisors (158924005235631).

312213111114321 is a wasteful number, since it uses less digits than its factorization.

312213111114321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136174 (or 136171 counting only the distinct ones).

The product of its digits is 864, while the sum is 27.

Adding to 312213111114321 its reverse (123411111312213), we get a palindrome (435624222426534).

The spelling of 312213111114321 in words is "three hundred twelve trillion, two hundred thirteen billion, one hundred eleven million, one hundred fourteen thousand, three hundred twenty-one".