230331333002013 has 24 divisors (see below), whose sum is σ = 342045849248376. Its totient is φ = 149268170304000.

The previous prime is 230331333002003. The next prime is 230331333002033. The reversal of 230331333002013 is 310200333133032.

230331333002013 is a `hidden beast` number, since 2 + 3 + 0 + 3 + 313 + 330 + 0 + 2 + 0 + 13 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1618854164964 + 228712478837049 = 1272342^2 + 15123243^2 .

It is not a de Polignac number, because 230331333002013 - 2¹² = 230331332997917 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230331333002003) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1126620088 + ... + 1126824513.

It is an arithmetic number, because the mean of its divisors is an integer number (14251910385349).

Almost surely, 2^{230331333002013} is an apocalyptic number.

It is an amenable number.

230331333002013 is a deficient number, since it is larger than the sum of its proper divisors (111714516246363).

230331333002013 is a wasteful number, since it uses less digits than its factorization.

230331333002013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2253444925 (or 2253444922 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 27.

Adding to 230331333002013 its reverse (310200333133032), we get a palindrome (540531666135045).

The spelling of 230331333002013 in words is "two hundred thirty trillion, three hundred thirty-one billion, three hundred thirty-three million, two thousand, thirteen".