121321312320137 has 2 divisors, whose sum is σ = 121321312320138. Its totient is φ = 121321312320136.

The previous prime is 121321312320127. The next prime is 121321312320167. The reversal of 121321312320137 is 731023213123121.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 61567546557001 + 59753765763136 = 7846499^2 + 7730056^2 .

It is a cyclic number.

It is not a de Polignac number, because 121321312320137 - 2²⁴ = 121321295542921 is a prime.

It is not a weakly prime, because it can be changed into another prime (121321312320107) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 60660656160068 + 60660656160069.

It is an arithmetic number, because the mean of its divisors is an integer number (60660656160069).

Almost surely, 2^{121321312320137} is an apocalyptic number.

It is an amenable number.

121321312320137 is a deficient number, since it is larger than the sum of its proper divisors (1).

121321312320137 is an equidigital number, since it uses as much as digits as its factorization.

121321312320137 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 9072, while the sum is 32.

Adding to 121321312320137 its reverse (731023213123121), we get a palindrome (852344525443258).

The spelling of 121321312320137 in words is "one hundred twenty-one trillion, three hundred twenty-one billion, three hundred twelve million, three hundred twenty thousand, one hundred thirty-seven".