1313310131200 has 132 divisors (see below), whose sum is σ = 3285291996580. Its totient is φ = 520503459840.

The previous prime is 1313310131173. The next prime is 1313310131251. The reversal of 1313310131200 is 21310133131.

It can be written as a sum of positive squares in 6 ways, for example, as 34637676544 + 1278672454656 = 186112^2 + 1130784^2 .

It is a super-2 number, since 2×1313310131200² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2555074 + ... + 3025726.

Almost surely, 2^{1313310131200} is an apocalyptic number.

1313310131200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1313310131200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1642645998290).

1313310131200 is an abundant number, since it is smaller than the sum of its proper divisors (1971981865380).

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

1313310131200 is a wasteful number, since it uses less digits than its factorization.

1313310131200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 470792 (or 470769 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 19.

Adding to 1313310131200 its reverse (21310133131), we get a palindrome (1334620264331).

The spelling of 1313310131200 in words is "one trillion, three hundred thirteen billion, three hundred ten million, one hundred thirty-one thousand, two hundred".