31133131313 has 2 divisors, whose sum is σ = 31133131314. Its totient is φ = 31133131312.

The previous prime is 31133131291. The next prime is 31133131319. The reversal of 31133131313 is 31313133113.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 31108846129 + 24285184 = 176377^2 + 4928^2 .

It is a cyclic number.

It is not a de Polignac number, because 31133131313 - 2¹⁸ = 31132869169 is a prime.

It is a super-2 number, since 2×31133131313² (a number of 22 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (31133131319) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15566565656 + 15566565657.

It is an arithmetic number, because the mean of its divisors is an integer number (15566565657).

Almost surely, 2^31133131313 is an apocalyptic number.

It is an amenable number.

31133131313 is a deficient number, since it is larger than the sum of its proper divisors (1).

31133131313 is an equidigital number, since it uses as much as digits as its factorization.

31133131313 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 729, while the sum is 23.

Adding to 31133131313 its reverse (31313133113), we get a palindrome (62446264426).

The spelling of 31133131313 in words is "thirty-one billion, one hundred thirty-three million, one hundred thirty-one thousand, three hundred thirteen".