202111133137 has 2 divisors, whose sum is σ = 202111133138. Its totient is φ = 202111133136.

The previous prime is 202111133117. The next prime is 202111133149. The reversal of 202111133137 is 731331111202.

202111133137 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., 107154094336 + 94957038801 = 327344^2 + 308151^2 .

It is a cyclic number.

It is not a de Polignac number, because 202111133137 - 2¹⁹ = 202110608849 is a prime.

It is not a weakly prime, because it can be changed into another prime (202111133117) 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, 101055566568 + 101055566569.

It is an arithmetic number, because the mean of its divisors is an integer number (101055566569).

Almost surely, 2^202111133137 is an apocalyptic number.

It is an amenable number.

202111133137 is a deficient number, since it is larger than the sum of its proper divisors (1).

202111133137 is an equidigital number, since it uses as much as digits as its factorization.

202111133137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 756, while the sum is 25.

Adding to 202111133137 its reverse (731331111202), we get a palindrome (933442244339).

The spelling of 202111133137 in words is "two hundred two billion, one hundred eleven million, one hundred thirty-three thousand, one hundred thirty-seven".