3131513 has 16 divisors (see below), whose sum is σ = 3969024. Its totient is φ = 2399760.

The previous prime is 3131503. The next prime is 3131537. The reversal of 3131513 is 3151313.

It is not a de Polignac number, because 3131513 - 2⁴ = 3131497 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 3131491 and 3131500.

It is not an unprimeable number, because it can be changed into a prime (3131503) 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 15 ways as a sum of consecutive naturals, for example, 4856 + ... + 5462.

It is an arithmetic number, because the mean of its divisors is an integer number (248064).

Almost surely, 2^3131513 is an apocalyptic number.

It is an amenable number.

3131513 is a deficient number, since it is larger than the sum of its proper divisors (837511).

3131513 is a wasteful number, since it uses less digits than its factorization.

3131513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 692.

The product of its digits is 135, while the sum is 17.

The square root of 3131513 is about 1769.6081487154. The cubic root of 3131513 is about 146.3023851106.

Multiplying 3131513 by its sum of digits (17), we get a triangular number (53235721 = T₁₀₃₁₈).

Adding to 3131513 its reverse (3151313), we get a palindrome (6282826).

The spelling of 3131513 in words is "three million, one hundred thirty-one thousand, five hundred thirteen".