13088575601300 has 72 divisors (see below), whose sum is σ = 29090075990976. Its totient is φ = 5108863656960.

The previous prime is 13088575601287. The next prime is 13088575601347. The reversal of 13088575601300 is 310657588031.

It is a super-2 number, since 2×13088575601300² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3139172 + ... + 6002628.

It is an arithmetic number, because the mean of its divisors is an integer number (404028833208).

Almost surely, 2^{13088575601300} is an apocalyptic number.

13088575601300 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 13088575601300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14545037995488).

13088575601300 is an abundant number, since it is smaller than the sum of its proper divisors (16001500389676).

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

13088575601300 is a wasteful number, since it uses less digits than its factorization.

13088575601300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2864577 (or 2864570 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 47.

The spelling of 13088575601300 in words is "thirteen trillion, eighty-eight billion, five hundred seventy-five million, six hundred one thousand, three hundred".