13132835100 has 576 divisors, whose sum is σ = 53079936000. Its totient is φ = 2706048000.

The previous prime is 13132835063. The next prime is 13132835129. The reversal of 13132835100 is 153823131.

13132835100 is a `hidden beast` number, since 13 + 132 + 8 + 3 + 510 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 37629726 + ... + 37630074.

Almost surely, 2^13132835100 is an apocalyptic number.

13132835100 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 13132835100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26539968000).

13132835100 is an abundant number, since it is smaller than the sum of its proper divisors (39947100900).

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

13132835100 is a wasteful number, since it uses less digits than its factorization.

13132835100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 571 (or 558 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The spelling of 13132835100 in words is "thirteen billion, one hundred thirty-two million, eight hundred thirty-five thousand, one hundred".