13121000123193 has 12 divisors (see below), whose sum is σ = 18952632201828. Its totient is φ = 8747298122400.

The previous prime is 13121000123191. The next prime is 13121000123279. The reversal of 13121000123193 is 39132100012131.

13121000123193 is a `hidden beast` number, since 131 + 210 + 0 + 0 + 1 + 2 + 319 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 7330085152569 + 5790914970624 = 2707413^2 + 2406432^2 .

It is not a de Polignac number, because 13121000123193 - 2¹ = 13121000123191 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13121000123191) 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, 477958 + ... + 5144943.

It is an arithmetic number, because the mean of its divisors is an integer number (1579386016819).

Almost surely, 2^{13121000123193} is an apocalyptic number.

It is an amenable number.

13121000123193 is a deficient number, since it is larger than the sum of its proper divisors (5831632078635).

13121000123193 is a wasteful number, since it uses less digits than its factorization.

13121000123193 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5882184 (or 5882181 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The spelling of 13121000123193 in words is "thirteen trillion, one hundred twenty-one billion, one hundred twenty-three thousand, one hundred ninety-three".