202133012331137 has 2 divisors, whose sum is σ = 202133012331138. Its totient is φ = 202133012331136.

The previous prime is 202133012331083. The next prime is 202133012331143. The reversal of 202133012331137 is 731133210331202.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 201658148008321 + 474864322816 = 14200639^2 + 689104^2 .

It is a cyclic number.

It is not a de Polignac number, because 202133012331137 - 2³² = 202128717363841 is a prime.

It is not a weakly prime, because it can be changed into another prime (202133012331737) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 101066506165568 + 101066506165569.

It is an arithmetic number, because the mean of its divisors is an integer number (101066506165569).

Almost surely, 2^{202133012331137} is an apocalyptic number.

It is an amenable number.

202133012331137 is a deficient number, since it is larger than the sum of its proper divisors (1).

202133012331137 is an equidigital number, since it uses as much as digits as its factorization.

202133012331137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 13608, while the sum is 32.

Adding to 202133012331137 its reverse (731133210331202), we get a palindrome (933266222662339).

The spelling of 202133012331137 in words is "two hundred two trillion, one hundred thirty-three billion, twelve million, three hundred thirty-one thousand, one hundred thirty-seven".