31313313 has 12 divisors (see below), whose sum is σ = 45972628. Its totient is φ = 20532960.

The previous prime is 31313297. The next prime is 31313351. The reversal of 31313313 is 31331313.

It can be written as a sum of positive squares in 2 ways, for example, as 1468944 + 29844369 = 1212^2 + 5463^2 .

It is not a de Polignac number, because 31313313 - 2⁴ = 31313297 is a prime.

It is a nude number because it is divisible by every one of its digits.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (31313363) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27970 + ... + 29067.

Almost surely, 2^31313313 is an apocalyptic number.

It is an amenable number.

31313313 is a deficient number, since it is larger than the sum of its proper divisors (14659315).

31313313 is a wasteful number, since it uses less digits than its factorization.

31313313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57104 (or 57101 counting only the distinct ones).

The product of its digits is 243, while the sum is 18.

The square root of 31313313 is about 5595.8299652509. The cubic root of 31313313 is about 315.1928373288.

Adding to 31313313 its reverse (31331313), we get a palindrome (62644626).

It can be divided in two parts, 31313 and 313, that added together give a triangular number (31626 = T₂₅₁).

The spelling of 31313313 in words is "thirty-one million, three hundred thirteen thousand, three hundred thirteen".