13416037075100 has 144 divisors (see below), whose sum is σ = 32450816764800. Its totient is φ = 4773137376000.

The previous prime is 13416037075099. The next prime is 13416037075127. The reversal of 13416037075100 is 157073061431.

13416037075100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13204046 + ... + 14183754.

It is an arithmetic number, because the mean of its divisors is an integer number (225352894200).

Almost surely, 2^{13416037075100} is an apocalyptic number.

13416037075100 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 13416037075100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16225408382400).

13416037075100 is an abundant number, since it is smaller than the sum of its proper divisors (19034779689700).

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

13416037075100 is a wasteful number, since it uses less digits than its factorization.

13416037075100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 980004 (or 979997 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 38.

The spelling of 13416037075100 in words is "thirteen trillion, four hundred sixteen billion, thirty-seven million, seventy-five thousand, one hundred".