13310112100 has 72 divisors (see below), whose sum is σ = 29118323808. Its totient is φ = 5280844800.

The previous prime is 13310112091. The next prime is 13310112181. The reversal of 13310112100 is 121101331.

It is a super-2 number, since 2×13310112100² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7447407 + ... + 7449193.

It is an arithmetic number, because the mean of its divisors is an integer number (404421164).

Almost surely, 2^13310112100 is an apocalyptic number.

13310112100 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 13310112100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14559161904).

13310112100 is an abundant number, since it is smaller than the sum of its proper divisors (15808211708).

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

13310112100 is a wasteful number, since it uses less digits than its factorization.

13310112100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2365 (or 2358 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 13.

Adding to 13310112100 its reverse (121101331), we get a palindrome (13431213431).

The spelling of 13310112100 in words is "thirteen billion, three hundred ten million, one hundred twelve thousand, one hundred".