128813100 has 72 divisors (see below), whose sum is σ = 401380560. Its totient is φ = 31706880.

The previous prime is 128813093. The next prime is 128813119. The reversal of 128813100 is 1318821.

It is a super-2 number, since 2×128813100² = 33185629463220000, which contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 12615 + ... + 20414.

It is an arithmetic number, because the mean of its divisors is an integer number (5574730).

Almost surely, 2^128813100 is an apocalyptic number.

128813100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

128813100 is an abundant number, since it is smaller than the sum of its proper divisors (272567460).

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

128813100 is a wasteful number, since it uses less digits than its factorization.

128813100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33059 (or 33052 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 24.

The square root of 128813100 is about 11349.5858955294. The cubic root of 128813100 is about 505.0332951939.

The spelling of 128813100 in words is "one hundred twenty-eight million, eight hundred thirteen thousand, one hundred".