331131313 has 8 divisors (see below), whose sum is σ = 332891496. Its totient is φ = 329376000.

The previous prime is 331131289. The next prime is 331131337. The reversal of 331131313 is 313131133.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (331131289) and next prime (331131337).

It can be written as a sum of positive squares in 4 ways, for example, as 40360609 + 290770704 = 6353^2 + 17052^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-331131313 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (331131113) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 275113 + ... + 276313.

It is an arithmetic number, because the mean of its divisors is an integer number (41611437).

Almost surely, 2^331131313 is an apocalyptic number.

It is an amenable number.

331131313 is a deficient number, since it is larger than the sum of its proper divisors (1760183).

331131313 is a wasteful number, since it uses less digits than its factorization.

331131313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2435.

The product of its digits is 243, while the sum is 19.

The square root of 331131313 is about 18197.0138484313. The cubic root of 331131313 is about 691.8311042978.

Adding to 331131313 its reverse (313131133), we get a palindrome (644262446).

It can be divided in two parts, 331131 and 313, that multiplied together give a triangular number (103644003 = T₁₄₃₉₇).

The spelling of 331131313 in words is "three hundred thirty-one million, one hundred thirty-one thousand, three hundred thirteen".