13146033064131 has 24 divisors (see below), whose sum is σ = 20760289406064. Its totient is φ = 7949858837760.

The previous prime is 13146033064123. The next prime is 13146033064147.

13146033064131 is a `hidden beast` number, since 1 + 3 + 1 + 4 + 6 + 0 + 3 + 3 + 0 + 641 + 3 + 1 = 666.

13146033064131 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 13146033064131 - 2³ = 13146033064123 is a prime.

It is a super-2 number, since 2×13146033064131² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13146033064231) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 145237266 + ... + 145327751.

It is an arithmetic number, because the mean of its divisors is an integer number (865012058586).

Almost surely, 2^{13146033064131} is an apocalyptic number.

13146033064131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13146033064131 is a deficient number, since it is larger than the sum of its proper divisors (7614256341933).

13146033064131 is a wasteful number, since it uses less digits than its factorization.

13146033064131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290565491 (or 290565488 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

It can be divided in two parts, 1314603 and 3064131, that added together give a palindrome (4378734).

The spelling of 13146033064131 in words is "thirteen trillion, one hundred forty-six billion, thirty-three million, sixty-four thousand, one hundred thirty-one".