13988403100 has 144 divisors (see below), whose sum is σ = 35747712000. Its totient is φ = 4651557120.

The previous prime is 13988403071. The next prime is 13988403101. The reversal of 13988403100 is 130488931.

It is a super-2 number, since 2×13988403100² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 13988403100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13988403101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4483341 + ... + 4486459.

It is an arithmetic number, because the mean of its divisors is an integer number (248248000).

Almost surely, 2^13988403100 is an apocalyptic number.

13988403100 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 13988403100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17873856000).

13988403100 is an abundant number, since it is smaller than the sum of its proper divisors (21759308900).

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

13988403100 is a wasteful number, since it uses less digits than its factorization.

13988403100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3332 (or 3325 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 37.

The spelling of 13988403100 in words is "thirteen billion, nine hundred eighty-eight million, four hundred three thousand, one hundred".