2122133013193 has 2 divisors, whose sum is σ = 2122133013194. Its totient is φ = 2122133013192.

The previous prime is 2122133013157. The next prime is 2122133013289. The reversal of 2122133013193 is 3913103312212.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1230794985744 + 891338027449 = 1109412^2 + 944107^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2122133013193 is a prime.

It is not a weakly prime, because it can be changed into another prime (2122133013593) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1061066506596 + 1061066506597.

It is an arithmetic number, because the mean of its divisors is an integer number (1061066506597).

Almost surely, 2^{2122133013193} is an apocalyptic number.

It is an amenable number.

2122133013193 is a deficient number, since it is larger than the sum of its proper divisors (1).

2122133013193 is an equidigital number, since it uses as much as digits as its factorization.

2122133013193 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 5832, while the sum is 31.

The spelling of 2122133013193 in words is "two trillion, one hundred twenty-two billion, one hundred thirty-three million, thirteen thousand, one hundred ninety-three".