13031023022133 has 64 divisors (see below), whose sum is σ = 18183196846080. Its totient is φ = 8293229280000.

The previous prime is 13031023022131. The next prime is 13031023022141. The reversal of 13031023022133 is 33122032013031.

It is not a de Polignac number, because 13031023022133 - 2¹ = 13031023022131 is a prime.

It is a super-2 number, since 2×13031023022133² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13031023022131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3301498666 + ... + 3301502612.

It is an arithmetic number, because the mean of its divisors is an integer number (284112450720).

Almost surely, 2^{13031023022133} is an apocalyptic number.

It is an amenable number.

13031023022133 is a deficient number, since it is larger than the sum of its proper divisors (5152173823947).

13031023022133 is a wasteful number, since it uses less digits than its factorization.

13031023022133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5978.

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 13031023022133 its reverse (33122032013031), we get a palindrome (46153055035164).

The spelling of 13031023022133 in words is "thirteen trillion, thirty-one billion, twenty-three million, twenty-two thousand, one hundred thirty-three".