202131013101133 has 2 divisors, whose sum is σ = 202131013101134. Its totient is φ = 202131013101132.

The previous prime is 202131013101019. The next prime is 202131013101139. The reversal of 202131013101133 is 331101310131202.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 175172716090089 + 26958297011044 = 13235283^2 + 5192138^2 .

It is a cyclic number.

It is not a de Polignac number, because 202131013101133 - 2⁴⁵ = 166946641012301 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (202131013101139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 101065506550566 + 101065506550567.

It is an arithmetic number, because the mean of its divisors is an integer number (101065506550567).

Almost surely, 2^{202131013101133} is an apocalyptic number.

It is an amenable number.

202131013101133 is a deficient number, since it is larger than the sum of its proper divisors (1).

202131013101133 is an equidigital number, since it uses as much as digits as its factorization.

202131013101133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 324, while the sum is 22.

Adding to 202131013101133 its reverse (331101310131202), we get a palindrome (533232323232335).

The spelling of 202131013101133 in words is "two hundred two trillion, one hundred thirty-one billion, thirteen million, one hundred one thousand, one hundred thirty-three".