12713180575401 has 12 divisors (see below), whose sum is σ = 18408381550260. Its totient is φ = 8454731333760.

The previous prime is 12713180575399. The next prime is 12713180575409. The reversal of 12713180575401 is 10457508131721.

12713180575401 is a `hidden beast` number, since 1 + 2 + 7 + 1 + 31 + 8 + 0 + 575 + 40 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5102335557225 + 7610845018176 = 2258835^2 + 2758776^2 .

It is not a de Polignac number, because 12713180575401 - 2¹ = 12713180575399 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 not an unprimeable number, because it can be changed into a prime (12713180575409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1726861380 + ... + 1726868741.

It is an arithmetic number, because the mean of its divisors is an integer number (1534031795855).

Almost surely, 2^{12713180575401} is an apocalyptic number.

It is an amenable number.

12713180575401 is a deficient number, since it is larger than the sum of its proper divisors (5695200974859).

12713180575401 is a wasteful number, since it uses less digits than its factorization.

12713180575401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3453730536 (or 3453730533 counting only the distinct ones).

The product of its (nonzero) digits is 235200, while the sum is 45.

The spelling of 12713180575401 in words is "twelve trillion, seven hundred thirteen billion, one hundred eighty million, five hundred seventy-five thousand, four hundred one".