13185641900 has 72 divisors (see below), whose sum is σ = 29462760096. Its totient is φ = 5118336000.

The previous prime is 13185641899. The next prime is 13185641933. The reversal of 13185641900 is 914658131.

It is a super-2 number, since 2×13185641900² (a number of 21 digits) contains 22 as substring.

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, 1479257 + ... + 1488143.

Almost surely, 2^13185641900 is an apocalyptic number.

13185641900 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 13185641900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14731380048).

13185641900 is an abundant number, since it is smaller than the sum of its proper divisors (16277118196).

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

13185641900 is a wasteful number, since it uses less digits than its factorization.

13185641900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9339 (or 9332 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 38.

The spelling of 13185641900 in words is "thirteen billion, one hundred eighty-five million, six hundred forty-one thousand, nine hundred".