313133113141 has 2 divisors, whose sum is σ = 313133113142. Its totient is φ = 313133113140.

The previous prime is 313133113133. The next prime is 313133113157. The reversal of 313133113141 is 141311331313.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 201946878225 + 111186234916 = 449385^2 + 333446^2 .

It is a cyclic number.

It is not a de Polignac number, because 313133113141 - 2³ = 313133113133 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (313133114141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156566556570 + 156566556571.

It is an arithmetic number, because the mean of its divisors is an integer number (156566556571).

Almost surely, 2^313133113141 is an apocalyptic number.

It is an amenable number.

313133113141 is a deficient number, since it is larger than the sum of its proper divisors (1).

313133113141 is an equidigital number, since it uses as much as digits as its factorization.

313133113141 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 972, while the sum is 25.

Adding to 313133113141 its reverse (141311331313), we get a palindrome (454444444454).

The spelling of 313133113141 in words is "three hundred thirteen billion, one hundred thirty-three million, one hundred thirteen thousand, one hundred forty-one".