202010013137 has 2 divisors, whose sum is σ = 202010013138. Its totient is φ = 202010013136.

The previous prime is 202010013059. The next prime is 202010013143. The reversal of 202010013137 is 731310010202.

202010013137 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 182137754176 + 19872258961 = 426776^2 + 140969^2 .

It is a cyclic number.

It is not a de Polignac number, because 202010013137 - 2²⁰ = 202008964561 is a prime.

It is a super-2 number, since 2×202010013137² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (202010013637) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 101005006568 + 101005006569.

It is an arithmetic number, because the mean of its divisors is an integer number (101005006569).

Almost surely, 2^202010013137 is an apocalyptic number.

It is an amenable number.

202010013137 is a deficient number, since it is larger than the sum of its proper divisors (1).

202010013137 is an equidigital number, since it uses as much as digits as its factorization.

202010013137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 252, while the sum is 20.

Adding to 202010013137 its reverse (731310010202), we get a palindrome (933320023339).

The spelling of 202010013137 in words is "two hundred two billion, ten million, thirteen thousand, one hundred thirty-seven".