13403402100 has 180 divisors, whose sum is σ = 47398716288. Its totient is φ = 3249288000.

The previous prime is 13403402071. The next prime is 13403402119. The reversal of 13403402100 is 120430431.

13403402100 is a `hidden beast` number, since 13 + 403 + 40 + 210 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 13885 + ... + 164315.

Almost surely, 2^13403402100 is an apocalyptic number.

13403402100 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 13403402100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23699358144).

13403402100 is an abundant number, since it is smaller than the sum of its proper divisors (33995314188).

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

13403402100 is a wasteful number, since it uses less digits than its factorization.

13403402100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150468 (or 150452 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 13403402100 its reverse (120430431), we get a palindrome (13523832531).

The spelling of 13403402100 in words is "thirteen billion, four hundred three million, four hundred two thousand, one hundred".