122113042000133 has 2 divisors, whose sum is σ = 122113042000134. Its totient is φ = 122113042000132.

The previous prime is 122113042000063. The next prime is 122113042000189. The reversal of 122113042000133 is 331000240311221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 76737635040004 + 45375406960129 = 8760002^2 + 6736127^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-122113042000133 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 122113042000099 and 122113042000108.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122113042050133) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61056521000066 + 61056521000067.

It is an arithmetic number, because the mean of its divisors is an integer number (61056521000067).

Almost surely, 2^{122113042000133} is an apocalyptic number.

It is an amenable number.

122113042000133 is a deficient number, since it is larger than the sum of its proper divisors (1).

122113042000133 is an equidigital number, since it uses as much as digits as its factorization.

122113042000133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 122113042000133 its reverse (331000240311221), we get a palindrome (453113282311354).

The spelling of 122113042000133 in words is "one hundred twenty-two trillion, one hundred thirteen billion, forty-two million, one hundred thirty-three", and thus it is an aban number.