13313211103200 has 72 divisors (see below), whose sum is σ = 43334502148728. Its totient is φ = 3550189626880.

The previous prime is 13313211103187. The next prime is 13313211103207. The reversal of 13313211103200 is 230111231331.

It is a happy number.

It is a super-2 number, since 2×13313211103200² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13313211103207) 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, 2773583247 + ... + 2773588046.

It is an arithmetic number, because the mean of its divisors is an integer number (601868085399).

Almost surely, 2^{13313211103200} is an apocalyptic number.

13313211103200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13313211103200 is an abundant number, since it is smaller than the sum of its proper divisors (30021291045528).

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

13313211103200 is a wasteful number, since it uses less digits than its factorization.

13313211103200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5547171316 (or 5547171303 counting only the distinct ones).

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

Adding to 13313211103200 its reverse (230111231331), we get a palindrome (13543322334531).

The spelling of 13313211103200 in words is "thirteen trillion, three hundred thirteen billion, two hundred eleven million, one hundred three thousand, two hundred".