313311106564 has 81 divisors (see below), whose sum is σ = 591899282751. Its totient is φ = 145085126400.

The previous prime is 313311106543. The next prime is 313311106567. The reversal of 313311106564 is 465601113313.

The square root of 313311106564 is 559742.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 186580802500 + 126730304064 = 431950^2 + 355992^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (313311106567) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1922153947 + ... + 1922154109.

Almost surely, 2^313311106564 is an apocalyptic number.

313311106564 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

313311106564 is the 559742-nd square number.

It is an amenable number.

313311106564 is a deficient number, since it is larger than the sum of its proper divisors (278588176187).

313311106564 is a wasteful number, since it uses less digits than its factorization.

313311106564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 566 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 34.

Adding to 313311106564 its reverse (465601113313), we get a palindrome (778912219877).

The spelling of 313311106564 in words is "three hundred thirteen billion, three hundred eleven million, one hundred six thousand, five hundred sixty-four".