313001223201 has 12 divisors (see below), whose sum is σ = 452117727828. Its totient is φ = 208665243744.

The previous prime is 313001223193. The next prime is 313001223209. The reversal of 313001223201 is 102322100313.

313001223201 is a `hidden beast` number, since 31 + 300 + 12 + 2 + 320 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (313001223193) and next prime (313001223209).

It can be written as a sum of positive squares in 2 ways, for example, as 106717208976 + 206284014225 = 326676^2 + 454185^2 .

It is not a de Polignac number, because 313001223201 - 2³ = 313001223193 is a prime.

It is not an unprimeable number, because it can be changed into a prime (313001223209) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1546771 + ... + 1737383.

It is an arithmetic number, because the mean of its divisors is an integer number (37676477319).

Almost surely, 2^313001223201 is an apocalyptic number.

It is an amenable number.

313001223201 is a deficient number, since it is larger than the sum of its proper divisors (139116504627).

313001223201 is a wasteful number, since it uses less digits than its factorization.

313001223201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 373072 (or 373069 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 313001223201 its reverse (102322100313), we get a palindrome (415323323514).

The spelling of 313001223201 in words is "three hundred thirteen billion, one million, two hundred twenty-three thousand, two hundred one".