1313320584004 has 81 divisors (see below), whose sum is σ = 2736200091261. Its totient is φ = 550906081440.

The previous prime is 1313320584001. The next prime is 1313320584013. The reversal of 1313320584004 is 4004850233131.

The square root of 1313320584004 is 1146002.

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

It can be written as a sum of positive squares in only one way, i.e., 194278192900 + 1119042391104 = 440770^2 + 1057848^2 .

It is not an unprimeable number, because it can be changed into a prime (1313320584001) 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, 327754569 + ... + 327758575.

Almost surely, 2^{1313320584004} is an apocalyptic number.

1313320584004 is the 1146002-nd square number.

It is an amenable number.

1313320584004 is an abundant number, since it is smaller than the sum of its proper divisors (1422879507257).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1313320584004 is an equidigital number, since it uses as much as digits as its factorization.

1313320584004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8066 (or 4033 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 34.

The spelling of 1313320584004 in words is "one trillion, three hundred thirteen billion, three hundred twenty million, five hundred eighty-four thousand, four".