123121101133 has 2 divisors, whose sum is σ = 123121101134. Its totient is φ = 123121101132.

The previous prime is 123121101109. The next prime is 123121101137. The reversal of 123121101133 is 331101121321.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 73800242244 + 49320858889 = 271662^2 + 222083^2 .

It is a cyclic number.

It is not a de Polignac number, because 123121101133 - 2²⁹ = 122584230221 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 123121101133.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (123121101137) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61560550566 + 61560550567.

It is an arithmetic number, because the mean of its divisors is an integer number (61560550567).

Almost surely, 2^123121101133 is an apocalyptic number.

It is an amenable number.

123121101133 is a deficient number, since it is larger than the sum of its proper divisors (1).

123121101133 is an equidigital number, since it uses as much as digits as its factorization.

123121101133 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 108, while the sum is 19.

Adding to 123121101133 its reverse (331101121321), we get a palindrome (454222222454).

The spelling of 123121101133 in words is "one hundred twenty-three billion, one hundred twenty-one million, one hundred one thousand, one hundred thirty-three".