13106918400 has 264 divisors, whose sum is σ = 45871796160. Its totient is φ = 3289251840.

The previous prime is 13106918399. The next prime is 13106918401. The reversal of 13106918400 is 481960131.

It is an interprime number because it is at equal distance from previous prime (13106918399) and next prime (13106918401).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13106918401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1300581 + ... + 1310619.

Almost surely, 2^13106918400 is an apocalyptic number.

13106918400 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 13106918400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22935898080).

13106918400 is an abundant number, since it is smaller than the sum of its proper divisors (32764877760).

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

13106918400 is a wasteful number, since it uses less digits than its factorization.

13106918400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10089 (or 10066 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 33.

The spelling of 13106918400 in words is "thirteen billion, one hundred six million, nine hundred eighteen thousand, four hundred".