13432402100 has 108 divisors (see below), whose sum is σ = 33346540164. Its totient is φ = 4667781120.

The previous prime is 13432402099. The next prime is 13432402103. The reversal of 13432402100 is 120423431.

It can be written as a sum of positive squares in 18 ways, for example, as 4072226596 + 9360175504 = 63814^2 + 96748^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13432402103) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 357824 + ... + 393576.

Almost surely, 2^13432402100 is an apocalyptic number.

13432402100 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 13432402100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16673270082).

13432402100 is an abundant number, since it is smaller than the sum of its proper divisors (19914138064).

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

13432402100 is a wasteful number, since it uses less digits than its factorization.

13432402100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35814 (or 35790 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 13432402100 its reverse (120423431), we get a palindrome (13552825531).

The spelling of 13432402100 in words is "thirteen billion, four hundred thirty-two million, four hundred two thousand, one hundred".