3131312409 has 12 divisors (see below), whose sum is σ = 4537461396. Its totient is φ = 2080870272.

The previous prime is 3131312407. The next prime is 3131312411. The reversal of 3131312409 is 9042131313.

It is an interprime number because it is at equal distance from previous prime (3131312407) and next prime (3131312411).

It can be written as a sum of positive squares in 2 ways, for example, as 954810000 + 2176502409 = 30900^2 + 46653^2 .

It is not a de Polignac number, because 3131312409 - 2¹ = 3131312407 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3131312407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 552972 + ... + 558605.

It is an arithmetic number, because the mean of its divisors is an integer number (378121783).

Almost surely, 2^3131312409 is an apocalyptic number.

It is an amenable number.

3131312409 is a deficient number, since it is larger than the sum of its proper divisors (1406148987).

3131312409 is a wasteful number, since it uses less digits than its factorization.

3131312409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1111896 (or 1111893 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 3131312409 is about 55958.1308569184. The cubic root of 3131312409 is about 1462.9926121400.

The spelling of 3131312409 in words is "three billion, one hundred thirty-one million, three hundred twelve thousand, four hundred nine".