13010414413131 has 12 divisors (see below), whose sum is σ = 18929994695352. Its totient is φ = 8610298588896.

The previous prime is 13010414413109. The next prime is 13010414413141. The reversal of 13010414413131 is 13131441401031.

13010414413131 is a `hidden beast` number, since 1 + 3 + 0 + 104 + 14 + 413 + 131 = 666.

It is not a de Polignac number, because 13010414413131 - 2⁶ = 13010414413067 is a prime.

It is a super-2 number, since 2×13010414413131² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13010414413095 and 13010414413104.

It is not an unprimeable number, because it can be changed into a prime (13010414413141) 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, 5275917021 + ... + 5275919486.

It is an arithmetic number, because the mean of its divisors is an integer number (1577499557946).

Almost surely, 2^{13010414413131} is an apocalyptic number.

13010414413131 is a deficient number, since it is larger than the sum of its proper divisors (5919580282221).

13010414413131 is a wasteful number, since it uses less digits than its factorization.

13010414413131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10551836650 (or 10551836647 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 13010414413131 its reverse (13131441401031), we get a palindrome (26141855814162).

The spelling of 13010414413131 in words is "thirteen trillion, ten billion, four hundred fourteen million, four hundred thirteen thousand, one hundred thirty-one".