31313131313 has 4 divisors (see below), whose sum is σ = 31400354880. Its totient is φ = 31225907748.

The previous prime is 31313131273. The next prime is 31313131319.

31313131313 is nontrivially palindromic in base 10.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 31313131313 - 2²⁴ = 31296354097 is a prime.

It is a super-2 number, since 2×31313131313² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

31313131313 is an undulating number in base 10.

It is not an unprimeable number, because it can be changed into a prime (31313131319) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 43611245 + ... + 43611962.

It is an arithmetic number, because the mean of its divisors is an integer number (7850088720).

Almost surely, 2^31313131313 is an apocalyptic number.

It is an amenable number.

31313131313 is a deficient number, since it is larger than the sum of its proper divisors (87223567).

31313131313 is an equidigital number, since it uses as much as digits as its factorization.

31313131313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87223566.

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

The spelling of 31313131313 in words is "thirty-one billion, three hundred thirteen million, one hundred thirty-one thousand, three hundred thirteen".