13132357128 has 96 divisors (see below), whose sum is σ = 38838945600. Its totient is φ = 3975523200.

The previous prime is 13132357111. The next prime is 13132357141. The reversal of 13132357128 is 82175323131.

It is a happy number.

13132357128 is a `hidden beast` number, since 1 + 31 + 32 + 3 + 571 + 28 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 13132357092 and 13132357101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 838893 + ... + 854403.

It is an arithmetic number, because the mean of its divisors is an integer number (404572350).

Almost surely, 2^13132357128 is an apocalyptic number.

13132357128 is a gapful number since it is divisible by the number (18) 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 13132357128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19419472800).

13132357128 is an abundant number, since it is smaller than the sum of its proper divisors (25706588472).

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

13132357128 is a wasteful number, since it uses less digits than its factorization.

13132357128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16603 (or 16596 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The spelling of 13132357128 in words is "thirteen billion, one hundred thirty-two million, three hundred fifty-seven thousand, one hundred twenty-eight".