121112313102313 has 16 divisors (see below), whose sum is σ = 130495387251600. Its totient is φ = 111738782398464.

The previous prime is 121112313102311. The next prime is 121112313102349. The reversal of 121112313102313 is 313201313211121.

It can be written as a sum of positive squares in 8 ways, for example, as 17434566422784 + 103677746679529 = 4175472^2 + 10182227^2 .

It is not a de Polignac number, because 121112313102313 - 2¹ = 121112313102311 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (121112313102311) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 341804163 + ... + 342158311.

It is an arithmetic number, because the mean of its divisors is an integer number (8155961703225).

Almost surely, 2^{121112313102313} is an apocalyptic number.

121112313102313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

121112313102313 is a deficient number, since it is larger than the sum of its proper divisors (9383074149287).

121112313102313 is a wasteful number, since it uses less digits than its factorization.

121112313102313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367548.

The product of its (nonzero) digits is 648, while the sum is 25.

Adding to 121112313102313 its reverse (313201313211121), we get a palindrome (434313626313434).

The spelling of 121112313102313 in words is "one hundred twenty-one trillion, one hundred twelve billion, three hundred thirteen million, one hundred two thousand, three hundred thirteen".