13182980175 has 96 divisors (see below), whose sum is σ = 25472655360. Its totient is φ = 6675177600.

The previous prime is 13182980147. The next prime is 13182980179. The reversal of 13182980175 is 57108928131.

It is not a de Polignac number, because 13182980175 - 2¹⁴ = 13182963791 is a prime.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 13182980175.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13182980179) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1103082 + ... + 1114968.

It is an arithmetic number, because the mean of its divisors is an integer number (265340160).

Almost surely, 2^13182980175 is an apocalyptic number.

13182980175 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

13182980175 is a deficient number, since it is larger than the sum of its proper divisors (12289675185).

13182980175 is a wasteful number, since it uses less digits than its factorization.

13182980175 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11990 (or 11979 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 45.

The spelling of 13182980175 in words is "thirteen billion, one hundred eighty-two million, nine hundred eighty thousand, one hundred seventy-five".