2013010300233 has 12 divisors (see below), whose sum is σ = 2908453066740. Its totient is φ = 1341650779776.

The previous prime is 2013010300199. The next prime is 2013010300253. The reversal of 2013010300233 is 3320030103102.

2013010300233 is a `hidden beast` number, since 2 + 0 + 130 + 1 + 0 + 300 + 233 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1711052357184 + 301957943049 = 1308072^2 + 549507^2 .

It is not a de Polignac number, because 2013010300233 - 2¹⁷ = 2013010169161 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2013010300253) 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 11 ways as a sum of consecutive naturals, for example, 29638116 + ... + 29705957.

It is an arithmetic number, because the mean of its divisors is an integer number (242371088895).

Almost surely, 2^{2013010300233} is an apocalyptic number.

It is an amenable number.

2013010300233 is a deficient number, since it is larger than the sum of its proper divisors (895442766507).

2013010300233 is a wasteful number, since it uses less digits than its factorization.

2013010300233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59347848 (or 59347845 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 2013010300233 its reverse (3320030103102), we get a palindrome (5333040403335).

The spelling of 2013010300233 in words is "two trillion, thirteen billion, ten million, three hundred thousand, two hundred thirty-three".