1313552141200 has 60 divisors (see below), whose sum is σ = 3398563572628. Its totient is φ = 485003865600.

The previous prime is 1313552141173. The next prime is 1313552141207. The reversal of 1313552141200 is 21412553131.

It can be written as a sum of positive squares in 6 ways, for example, as 1271920896 + 1312280220304 = 35664^2 + 1145548^2 .

It is a super-2 number, since 2×1313552141200² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1313552141207) 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, 126297891 + ... + 126308290.

Almost surely, 2^{1313552141200} is an apocalyptic number.

1313552141200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1313552141200 is an abundant number, since it is smaller than the sum of its proper divisors (2085011431428).

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

1313552141200 is a wasteful number, since it uses less digits than its factorization.

1313552141200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252606212 (or 252606201 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 28.

Adding to 1313552141200 its reverse (21412553131), we get a palindrome (1334964694331).

The spelling of 1313552141200 in words is "one trillion, three hundred thirteen billion, five hundred fifty-two million, one hundred forty-one thousand, two hundred".