13292442900 has 864 divisors, whose sum is σ = 51534201600. Its totient is φ = 2927232000.

The previous prime is 13292442893. The next prime is 13292442913. The reversal of 13292442900 is 924429231.

13292442900 is a `hidden beast` number, since 1 + 329 + 2 + 44 + 290 + 0 = 666.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 217908870 + ... + 217908930.

Almost surely, 2^13292442900 is an apocalyptic number.

13292442900 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 13292442900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25767100800).

13292442900 is an abundant number, since it is smaller than the sum of its proper divisors (38241758700).

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

13292442900 is a wasteful number, since it uses less digits than its factorization.

13292442900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 13292442900 in words is "thirteen billion, two hundred ninety-two million, four hundred forty-two thousand, nine hundred".