313518100072 has 24 divisors (see below), whose sum is σ = 608133547350. Its totient is φ = 151349448320.

The previous prime is 313518100057. The next prime is 313518100073. The reversal of 313518100072 is 270001815313.

It can be written as a sum of positive squares in 3 ways, for example, as 64630859076 + 248887240996 = 254226^2 + 498886^2 .

It is not an unprimeable number, because it can be changed into a prime (313518100073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 8510172 + ... + 8546932.

Almost surely, 2^313518100072 is an apocalyptic number.

It is an amenable number.

313518100072 is a deficient number, since it is larger than the sum of its proper divisors (294615447278).

313518100072 is an frugal number, since it uses more digits than its factorization.

313518100072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73557 (or 36792 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 31.

Adding to 313518100072 its reverse (270001815313), we get a palindrome (583519915385).

The spelling of 313518100072 in words is "three hundred thirteen billion, five hundred eighteen million, one hundred thousand, seventy-two".