331032013 has 16 divisors (see below), whose sum is σ = 369618480. Its totient is φ = 294368256.

The previous prime is 331032001. The next prime is 331032061. The reversal of 331032013 is 310230133.

It can be written as a sum of positive squares in 8 ways, for example, as 86359849 + 244672164 = 9293^2 + 15642^2 .

It is a de Polignac number, because none of the positive numbers 2^k-331032013 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331032083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 254581 + ... + 255877.

It is an arithmetic number, because the mean of its divisors is an integer number (23101155).

Almost surely, 2^331032013 is an apocalyptic number.

It is an amenable number.

331032013 is a deficient number, since it is larger than the sum of its proper divisors (38586467).

331032013 is a wasteful number, since it uses less digits than its factorization.

331032013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2016.

The product of its (nonzero) digits is 162, while the sum is 16.

The square root of 331032013 is about 18194.2851741969. The cubic root of 331032013 is about 691.7619417085.

Adding to 331032013 its reverse (310230133), we get a palindrome (641262146).

The spelling of 331032013 in words is "three hundred thirty-one million, thirty-two thousand, thirteen".