13689710100 has 216 divisors, whose sum is σ = 48375653760. Its totient is φ = 3318638400.

The previous prime is 13689710039. The next prime is 13689710117. The reversal of 13689710100 is 101798631.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 305749 + ... + 347651.

It is an arithmetic number, because the mean of its divisors is an integer number (223961360).

Almost surely, 2^13689710100 is an apocalyptic number.

13689710100 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 13689710100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24187826880).

13689710100 is an abundant number, since it is smaller than the sum of its proper divisors (34685943660).

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

13689710100 is a wasteful number, since it uses less digits than its factorization.

13689710100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41948 (or 41924 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 36.

The spelling of 13689710100 in words is "thirteen billion, six hundred eighty-nine million, seven hundred ten thousand, one hundred".