233020012013 has 2 divisors, whose sum is σ = 233020012014. Its totient is φ = 233020012012.

The previous prime is 233020012003. The next prime is 233020012019. The reversal of 233020012013 is 310210020332.

233020012013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 218520721444 + 14499290569 = 467462^2 + 120413^2 .

It is a cyclic number.

It is not a de Polignac number, because 233020012013 - 2¹⁸ = 233019749869 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 233020011982 and 233020012000.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (233020012019) 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 as a sum of consecutive naturals, namely, 116510006006 + 116510006007.

It is an arithmetic number, because the mean of its divisors is an integer number (116510006007).

Almost surely, 2^233020012013 is an apocalyptic number.

It is an amenable number.

233020012013 is a deficient number, since it is larger than the sum of its proper divisors (1).

233020012013 is an equidigital number, since it uses as much as digits as its factorization.

233020012013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 233020012013 its reverse (310210020332), we get a palindrome (543230032345).

The spelling of 233020012013 in words is "two hundred thirty-three billion, twenty million, twelve thousand, thirteen".