13157736313131 has 12 divisors (see below), whose sum is σ = 19709530938552. Its totient is φ = 8771824208592.

The previous prime is 13157736313093. The next prime is 13157736313231. The reversal of 13157736313131 is 13131363775131.

13157736313131 is a `hidden beast` number, since 1 + 3 + 1 + 5 + 7 + 7 + 3 + 631 + 3 + 1 + 3 + 1 = 666.

It is not a de Polignac number, because 13157736313131 - 2⁷ = 13157736313003 is a prime.

It is a super-3 number, since 3×13157736313131³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (13157736313231) 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, 27073531266 + ... + 27073531751.

It is an arithmetic number, because the mean of its divisors is an integer number (1642460911546).

Almost surely, 2^{13157736313131} is an apocalyptic number.

13157736313131 is a deficient number, since it is larger than the sum of its proper divisors (6551794625421).

13157736313131 is an frugal number, since it uses more digits than its factorization.

13157736313131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54147063032 (or 54147063020 counting only the distinct ones).

The product of its digits is 357210, while the sum is 45.

The spelling of 13157736313131 in words is "thirteen trillion, one hundred fifty-seven billion, seven hundred thirty-six million, three hundred thirteen thousand, one hundred thirty-one".