3131301321 has 40 divisors (see below), whose sum is σ = 4778575560. Its totient is φ = 2042696448.

The previous prime is 3131301319. The next prime is 3131301331. The reversal of 3131301321 is 1231031313.

It is a happy number.

3131301321 is a `hidden beast` number, since 31 + 313 + 0 + 1 + 321 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1786245696 + 1345055625 = 42264^2 + 36675^2 .

It is not a de Polignac number, because 3131301321 - 2¹ = 3131301319 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 3131301294 and 3131301303.

It is not an unprimeable number, because it can be changed into a prime (3131301331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2184421 + ... + 2185853.

It is an arithmetic number, because the mean of its divisors is an integer number (119464389).

Almost surely, 2^3131301321 is an apocalyptic number.

It is an amenable number.

3131301321 is a deficient number, since it is larger than the sum of its proper divisors (1647274239).

3131301321 is a wasteful number, since it uses less digits than its factorization.

3131301321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2007 (or 1998 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

The square root of 3131301321 is about 55958.0317827566. The cubic root of 3131301321 is about 1462.9908853155.

Adding to 3131301321 its reverse (1231031313), we get a palindrome (4362332634).

The spelling of 3131301321 in words is "three billion, one hundred thirty-one million, three hundred one thousand, three hundred twenty-one".