13313101133200 has 360 divisors, whose sum is σ = 35776367915904. Its totient is φ = 4756323686400.

The previous prime is 13313101133179. The next prime is 13313101133231. The reversal of 13313101133200 is 233110131331.

13313101133200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×13313101133200² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 929224437 + ... + 929238763.

Almost surely, 2^{13313101133200} is an apocalyptic number.

13313101133200 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 13313101133200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17888183957952).

13313101133200 is an abundant number, since it is smaller than the sum of its proper divisors (22463266782704).

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

13313101133200 is a wasteful number, since it uses less digits than its factorization.

13313101133200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14703 (or 14681 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 22.

Adding to 13313101133200 its reverse (233110131331), we get a palindrome (13546211264531).

The spelling of 13313101133200 in words is "thirteen trillion, three hundred thirteen billion, one hundred one million, one hundred thirty-three thousand, two hundred".