13813195000 has 80 divisors (see below), whose sum is σ = 35306667000. Its totient is φ = 5022960000.

The previous prime is 13813194953. The next prime is 13813195003. The reversal of 13813195000 is 59131831.

13813195000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×13813195000³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13813195003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 70575 + ... + 180574.

Almost surely, 2^13813195000 is an apocalyptic number.

13813195000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13813195000 is an abundant number, since it is smaller than the sum of its proper divisors (21493472000).

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

13813195000 is a wasteful number, since it uses less digits than its factorization.

13813195000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251186 (or 251167 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 31.

The spelling of 13813195000 in words is "thirteen billion, eight hundred thirteen million, one hundred ninety-five thousand".