3131116361 has 2 divisors, whose sum is σ = 3131116362. Its totient is φ = 3131116360.

The previous prime is 3131116357. The next prime is 3131116369. The reversal of 3131116361 is 1636111313.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2270046025 + 861070336 = 47645^2 + 29344^2 .

It is a cyclic number.

It is not a de Polignac number, because 3131116361 - 2² = 3131116357 is a prime.

It is a super-2 number, since 2×3131116361² = 19607779332243764642, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 3131116361.

It is not a weakly prime, because it can be changed into another prime (3131116369) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1565558180 + 1565558181.

It is an arithmetic number, because the mean of its divisors is an integer number (1565558181).

Almost surely, 2^3131116361 is an apocalyptic number.

It is an amenable number.

3131116361 is a deficient number, since it is larger than the sum of its proper divisors (1).

3131116361 is an equidigital number, since it uses as much as digits as its factorization.

3131116361 is an evil number, because the sum of its binary digits is even.

The product of its digits is 972, while the sum is 26.

The square root of 3131116361 is about 55956.3790912171. The cubic root of 3131116361 is about 1462.9620793874.

Adding to 3131116361 its reverse (1636111313), we get a palindrome (4767227674).

The spelling of 3131116361 in words is "three billion, one hundred thirty-one million, one hundred sixteen thousand, three hundred sixty-one".