13127080157500 has 120 divisors (see below), whose sum is σ = 28848281782320. Its totient is φ = 5224920960000.

The previous prime is 13127080157479. The next prime is 13127080157507. The reversal of 13127080157500 is 575108072131.

13127080157500 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-2 number, since 2×13127080157500² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13127080157507) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 452502996 + ... + 452532004.

It is an arithmetic number, because the mean of its divisors is an integer number (240402348186).

Almost surely, 2^{13127080157500} is an apocalyptic number.

13127080157500 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 13127080157500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14424140891160).

13127080157500 is an abundant number, since it is smaller than the sum of its proper divisors (15721201624820).

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

13127080157500 is a wasteful number, since it uses less digits than its factorization.

13127080157500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29921 (or 29904 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 40.

The spelling of 13127080157500 in words is "thirteen trillion, one hundred twenty-seven billion, eighty million, one hundred fifty-seven thousand, five hundred".