121122310134313 has 2 divisors, whose sum is σ = 121122310134314. Its totient is φ = 121122310134312.

The previous prime is 121122310134311. The next prime is 121122310134317. The reversal of 121122310134313 is 313431013221121.

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., 82047146608144 + 39075163526169 = 9057988^2 + 6251013^2 .

It is a cyclic number.

It is not a de Polignac number, because 121122310134313 - 2¹ = 121122310134311 is a prime.

It is a super-2 number, since 2×121122310134313² (a number of 29 digits) contains 22 as substring.

Together with 121122310134311, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (121122310134311) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 60561155067156 + 60561155067157.

It is an arithmetic number, because the mean of its divisors is an integer number (60561155067157).

Almost surely, 2^{121122310134313} is an apocalyptic number.

It is an amenable number.

121122310134313 is a deficient number, since it is larger than the sum of its proper divisors (1).

121122310134313 is an equidigital number, since it uses as much as digits as its factorization.

121122310134313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2592, while the sum is 28.

Adding to 121122310134313 its reverse (313431013221121), we get a palindrome (434553323355434).

The spelling of 121122310134313 in words is "one hundred twenty-one trillion, one hundred twenty-two billion, three hundred ten million, one hundred thirty-four thousand, three hundred thirteen".