130031022033 has 32 divisors (see below), whose sum is σ = 222512987520. Its totient is φ = 74170990080.

The previous prime is 130031022013. The next prime is 130031022047. The reversal of 130031022033 is 330220130031.

130031022033 is a `hidden beast` number, since 1 + 300 + 310 + 2 + 20 + 33 = 666.

It is not a de Polignac number, because 130031022033 - 2⁵ = 130031022001 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 130031021997 and 130031022015.

It is not an unprimeable number, because it can be changed into a prime (130031022013) 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 31 ways as a sum of consecutive naturals, for example, 12871860 + ... + 12881957.

It is an arithmetic number, because the mean of its divisors is an integer number (6953530860).

Almost surely, 2^130031022033 is an apocalyptic number.

It is an amenable number.

130031022033 is a deficient number, since it is larger than the sum of its proper divisors (92481965487).

130031022033 is a wasteful number, since it uses less digits than its factorization.

130031022033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25753854 (or 25753848 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 130031022033 its reverse (330220130031), we get a palindrome (460251152064).

The spelling of 130031022033 in words is "one hundred thirty billion, thirty-one million, twenty-two thousand, thirty-three".