313102121121133 has 2 divisors, whose sum is σ = 313102121121134. Its totient is φ = 313102121121132.

The previous prime is 313102121121113. The next prime is 313102121121173. The reversal of 313102121121133 is 331121121201313.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 298073767924969 + 15028353196164 = 17264813^2 + 3876642^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-313102121121133 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 313102121121098 and 313102121121107.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (313102121121113) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156551060560566 + 156551060560567.

It is an arithmetic number, because the mean of its divisors is an integer number (156551060560567).

Almost surely, 2^{313102121121133} is an apocalyptic number.

It is an amenable number.

313102121121133 is a deficient number, since it is larger than the sum of its proper divisors (1).

313102121121133 is an equidigital number, since it uses as much as digits as its factorization.

313102121121133 is an odious number, because the sum of its binary digits is odd.

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

Adding to 313102121121133 its reverse (331121121201313), we get a palindrome (644223242322446).

The spelling of 313102121121133 in words is "three hundred thirteen trillion, one hundred two billion, one hundred twenty-one million, one hundred twenty-one thousand, one hundred thirty-three".