13138272000 has 1080 divisors, whose sum is σ = 58053974160. Its totient is φ = 2844979200.

The previous prime is 13138271989. The next prime is 13138272011. The reversal of 13138272000 is 27283131.

It is an interprime number because it is at equal distance from previous prime (13138271989) and next prime (13138272011).

It is a super-2 number, since 2×13138272000² (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 691487991 + ... + 691488009.

Almost surely, 2^13138272000 is an apocalyptic number.

13138272000 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 13138272000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29026987080).

13138272000 is an abundant number, since it is smaller than the sum of its proper divisors (44915702160).

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

13138272000 is an frugal number, since it uses more digits than its factorization.

13138272000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The spelling of 13138272000 in words is "thirteen billion, one hundred thirty-eight million, two hundred seventy-two thousand".