121111111332313 has 2 divisors, whose sum is σ = 121111111332314. Its totient is φ = 121111111332312.

The previous prime is 121111111332283. The next prime is 121111111332347. The reversal of 121111111332313 is 313233111111121.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 109735513622784 + 11375597709529 = 10475472^2 + 3372773^2 .

It is a cyclic number.

It is not a de Polignac number, because 121111111332313 - 2³³ = 121102521397721 is a prime.

It is not a weakly prime, because it can be changed into another prime (121111111332713) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 60555555666156 + 60555555666157.

It is an arithmetic number, because the mean of its divisors is an integer number (60555555666157).

Almost surely, 2^{121111111332313} is an apocalyptic number.

It is an amenable number.

121111111332313 is a deficient number, since it is larger than the sum of its proper divisors (1).

121111111332313 is an equidigital number, since it uses as much as digits as its factorization.

121111111332313 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 324, while the sum is 25.

Adding to 121111111332313 its reverse (313233111111121), we get a palindrome (434344222443434).

The spelling of 121111111332313 in words is "one hundred twenty-one trillion, one hundred eleven billion, one hundred eleven million, three hundred thirty-two thousand, three hundred thirteen".