13127505600 has 168 divisors, whose sum is σ = 46984724928. Its totient is φ = 3182412800.

The previous prime is 13127505581. The next prime is 13127505617. The reversal of 13127505600 is 650572131.

13127505600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 71514 + ... + 177113.

Almost surely, 2^13127505600 is an apocalyptic number.

13127505600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13127505600 is an abundant number, since it is smaller than the sum of its proper divisors (33857219328).

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

13127505600 is a wasteful number, since it uses less digits than its factorization.

13127505600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248663 (or 248648 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 30.

The spelling of 13127505600 in words is "thirteen billion, one hundred twenty-seven million, five hundred five thousand, six hundred".