1313231311200 has 72 divisors (see below), whose sum is σ = 4274567925768. Its totient is φ = 350195015680.

The previous prime is 1313231311153. The next prime is 1313231311201. The reversal of 1313231311200 is 21131323131.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1313231311201) 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, 273587457 + ... + 273592256.

It is an arithmetic number, because the mean of its divisors is an integer number (59368998969).

Almost surely, 2^{1313231311200} is an apocalyptic number.

1313231311200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1313231311200 is an abundant number, since it is smaller than the sum of its proper divisors (2961336614568).

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

1313231311200 is a wasteful number, since it uses less digits than its factorization.

1313231311200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 547179736 (or 547179723 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 1313231311200 its reverse (21131323131), we get a palindrome (1334362634331).

The spelling of 1313231311200 in words is "one trillion, three hundred thirteen billion, two hundred thirty-one million, three hundred eleven thousand, two hundred".