121123122313 has 2 divisors, whose sum is σ = 121123122314. Its totient is φ = 121123122312.

The previous prime is 121123122311. The next prime is 121123122347. The reversal of 121123122313 is 313221321121.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 86537165584 + 34585956729 = 294172^2 + 185973^2 .

It is a cyclic number.

It is not a de Polignac number, because 121123122313 - 2¹ = 121123122311 is a prime.

Together with 121123122311, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (121123122311) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 60561561156 + 60561561157.

It is an arithmetic number, because the mean of its divisors is an integer number (60561561157).

Almost surely, 2^121123122313 is an apocalyptic number.

It is an amenable number.

121123122313 is a deficient number, since it is larger than the sum of its proper divisors (1).

121123122313 is an equidigital number, since it uses as much as digits as its factorization.

121123122313 is an evil number, because the sum of its binary digits is even.

The product of its digits is 432, while the sum is 22.

Adding to 121123122313 its reverse (313221321121), we get a palindrome (434344443434).

The spelling of 121123122313 in words is "one hundred twenty-one billion, one hundred twenty-three million, one hundred twenty-two thousand, three hundred thirteen".