13013041043331 has 24 divisors (see below), whose sum is σ = 21482135324000. Its totient is φ = 7435923140736.

The previous prime is 13013041043309. The next prime is 13013041043357. The reversal of 13013041043331 is 13334014031031.

13013041043331 is a `hidden beast` number, since 1 + 30 + 130 + 41 + 0 + 433 + 31 = 666.

It is not a de Polignac number, because 13013041043331 - 2¹⁷ = 13013040912259 is a prime.

It is a super-4 number, since 4×13013041043331⁴ (a number of 54 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13013041043295 and 13013041043304.

It is not an unprimeable number, because it can be changed into a prime (13013041043831) 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, 3446295 + ... + 6156543.

Almost surely, 2^{13013041043331} is an apocalyptic number.

13013041043331 is a deficient number, since it is larger than the sum of its proper divisors (8469094280669).

13013041043331 is a wasteful number, since it uses less digits than its factorization.

13013041043331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2786475 (or 2786472 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 13013041043331 its reverse (13334014031031), we get a palindrome (26347055074362).

The spelling of 13013041043331 in words is "thirteen trillion, thirteen billion, forty-one million, forty-three thousand, three hundred thirty-one".