13138047360 has 96 divisors (see below), whose sum is σ = 45367339680. Its totient is φ = 3503477760.

The previous prime is 13138047359. The next prime is 13138047361. The reversal of 13138047360 is 6374083131.

It is an interprime number because it is at equal distance from previous prime (13138047359) and next prime (13138047361).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13138047361) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1134696 + ... + 1146215.

It is an arithmetic number, because the mean of its divisors is an integer number (472576455).

Almost surely, 2^13138047360 is an apocalyptic number.

13138047360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13138047360 is an abundant number, since it is smaller than the sum of its proper divisors (32229292320).

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

13138047360 is a wasteful number, since it uses less digits than its factorization.

13138047360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2280936 (or 2280921 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 13138047360 in words is "thirteen billion, one hundred thirty-eight million, forty-seven thousand, three hundred sixty".