13133210133031 has 24 divisors (see below), whose sum is σ = 14089238530128. Its totient is φ = 12236978880000.

The previous prime is 13133210133023. The next prime is 13133210133049. The reversal of 13133210133031 is 13033101233131.

It is not a de Polignac number, because 13133210133031 - 2³ = 13133210133023 is a prime.

It is a super-2 number, since 2×13133210133031² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13133210132987 and 13133210133005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13133210133331) 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, 405192216 + ... + 405224626.

It is an arithmetic number, because the mean of its divisors is an integer number (587051605422).

Almost surely, 2^{13133210133031} is an apocalyptic number.

13133210133031 is a deficient number, since it is larger than the sum of its proper divisors (956028397097).

13133210133031 is a wasteful number, since it uses less digits than its factorization.

13133210133031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50911 (or 50892 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 25.

Adding to 13133210133031 its reverse (13033101233131), we get a palindrome (26166311366162).

The spelling of 13133210133031 in words is "thirteen trillion, one hundred thirty-three billion, two hundred ten million, one hundred thirty-three thousand, thirty-one".