13100886400 has 192 divisors, whose sum is σ = 37185120000. Its totient is φ = 4467640320.

The previous prime is 13100886397. The next prime is 13100886427. The reversal of 13100886400 is 468800131.

It is a congruent number.

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, 4456131 + ... + 4459069.

It is an arithmetic number, because the mean of its divisors is an integer number (193672500).

Almost surely, 2^13100886400 is an apocalyptic number.

13100886400 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 13100886400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18592560000).

13100886400 is an abundant number, since it is smaller than the sum of its proper divisors (24084233600).

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

13100886400 is a wasteful number, since it uses less digits than its factorization.

13100886400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3169 (or 3152 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 31.

The spelling of 13100886400 in words is "thirteen billion, one hundred million, eight hundred eighty-six thousand, four hundred".