13101633610131 has 16 divisors (see below), whose sum is σ = 19057964594688. Its totient is φ = 7939949431200.

The previous prime is 13101633610063. The next prime is 13101633610139.

13101633610131 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 13101633610131 - 2¹⁰ = 13101633609107 is a prime.

It is a super-2 number, since 2×13101633610131² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13101633610139) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10251760 + ... + 11458701.

It is an arithmetic number, because the mean of its divisors is an integer number (1191122787168).

Almost surely, 2^{13101633610131} is an apocalyptic number.

13101633610131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13101633610131 is a deficient number, since it is larger than the sum of its proper divisors (5956330984557).

13101633610131 is a wasteful number, since it uses less digits than its factorization.

13101633610131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21728762.

The product of its (nonzero) digits is 2916, while the sum is 30.

It can be divided in two parts, 1310163 and 3610131, that added together give a palindrome (4920294).

The spelling of 13101633610131 in words is "thirteen trillion, one hundred one billion, six hundred thirty-three million, six hundred ten thousand, one hundred thirty-one".