13988708100 has 396 divisors, whose sum is σ = 47973971136. Its totient is φ = 3533492160.

The previous prime is 13988708081. The next prime is 13988708113. The reversal of 13988708100 is 180788931.

It is a super-2 number, since 2×13988708100² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 131 ways as a sum of consecutive naturals, for example, 135812649 + ... + 135812751.

Almost surely, 2^13988708100 is an apocalyptic number.

13988708100 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 13988708100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23986985568).

13988708100 is an abundant number, since it is smaller than the sum of its proper divisors (33985263036).

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

13988708100 is a wasteful number, since it uses less digits than its factorization.

13988708100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 45.

The spelling of 13988708100 in words is "thirteen billion, nine hundred eighty-eight million, seven hundred eight thousand, one hundred".