331000013 has 8 divisors (see below), whose sum is σ = 350699832. Its totient is φ = 311325696.

The previous prime is 331000009. The next prime is 331000037. The reversal of 331000013 is 310000133.

It can be written as a sum of positive squares in 4 ways, for example, as 107288164 + 223711849 = 10358^2 + 14957^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 331000013 - 2² = 331000009 is a prime.

It is a super-2 number, since 2×331000013² = 219122017212000338, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 330999958 and 331000003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331000063) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24731 + ... + 35687.

It is an arithmetic number, because the mean of its divisors is an integer number (43837479).

Almost surely, 2^331000013 is an apocalyptic number.

It is an amenable number.

331000013 is a deficient number, since it is larger than the sum of its proper divisors (19699819).

331000013 is a wasteful number, since it uses less digits than its factorization.

331000013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12751.

The product of its (nonzero) digits is 27, while the sum is 11.

The square root of 331000013 is about 18193.4057559326. The cubic root of 331000013 is about 691.7396507169.

Adding to 331000013 its reverse (310000133), we get a palindrome (641000146).

It can be divided in two parts, 3 and 31000013, that multiplied together give a palindrome (93000039).

The spelling of 331000013 in words is "three hundred thirty-one million, thirteen", and thus it is an aban number.