122133130136993 has 2 divisors, whose sum is σ = 122133130136994. Its totient is φ = 122133130136992.

The previous prime is 122133130136933. The next prime is 122133130137001. The reversal of 122133130136993 is 399631031331221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 118949931777889 + 3183198359104 = 10906417^2 + 1784152^2 .

It is a cyclic number.

It is not a de Polignac number, because 122133130136993 - 2²⁸ = 122132861701537 is a prime.

It is not a weakly prime, because it can be changed into another prime (122133130136933) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61066565068496 + 61066565068497.

It is an arithmetic number, because the mean of its divisors is an integer number (61066565068497).

Almost surely, 2^{122133130136993} is an apocalyptic number.

It is an amenable number.

122133130136993 is a deficient number, since it is larger than the sum of its proper divisors (1).

122133130136993 is an equidigital number, since it uses as much as digits as its factorization.

122133130136993 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 472392, while the sum is 47.

The spelling of 122133130136993 in words is "one hundred twenty-two trillion, one hundred thirty-three billion, one hundred thirty million, one hundred thirty-six thousand, nine hundred ninety-three".