133303302022131 has 80 divisors (see below), whose sum is σ = 204246031676544. Its totient is φ = 86609949394176.

The previous prime is 133303302022117. The next prime is 133303302022141. The reversal of 133303302022131 is 131220203303331.

133303302022131 is a `hidden beast` number, since 1 + 3 + 3 + 303 + 302 + 0 + 2 + 21 + 31 = 666.

It is not a de Polignac number, because 133303302022131 - 2⁷ = 133303302022003 is a prime.

It is a super-2 number, since 2×133303302022131² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 133303302022095 and 133303302022104.

It is not an unprimeable number, because it can be changed into a prime (133303302022141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 829503270 + ... + 829663956.

Almost surely, 2^{133303302022131} is an apocalyptic number.

133303302022131 is a deficient number, since it is larger than the sum of its proper divisors (70942729654413).

133303302022131 is a wasteful number, since it uses less digits than its factorization.

133303302022131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162042 (or 162033 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 133303302022131 its reverse (131220203303331), we get a palindrome (264523505325462).

The spelling of 133303302022131 in words is "one hundred thirty-three trillion, three hundred three billion, three hundred two million, twenty-two thousand, one hundred thirty-one".