233020300113 has 24 divisors (see below), whose sum is σ = 347591700456. Its totient is φ = 150313190400.

The previous prime is 233020300067. The next prime is 233020300129. The reversal of 233020300113 is 311003020332.

233020300113 is a `hidden beast` number, since 2 + 330 + 20 + 300 + 1 + 13 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3940323984 + 229079976129 = 62772^2 + 478623^2 .

It is not a de Polignac number, because 233020300113 - 2⁸ = 233020299857 is a prime.

It is not an unprimeable number, because it can be changed into a prime (233020305113) 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, 1872768 + ... + 1993313.

It is an arithmetic number, because the mean of its divisors is an integer number (14482987519).

Almost surely, 2^233020300113 is an apocalyptic number.

It is an amenable number.

233020300113 is a deficient number, since it is larger than the sum of its proper divisors (114571400343).

233020300113 is a wasteful number, since it uses less digits than its factorization.

233020300113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3866305 (or 3866302 counting only the distinct ones).

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

Adding to 233020300113 its reverse (311003020332), we get a palindrome (544023320445).

The spelling of 233020300113 in words is "two hundred thirty-three billion, twenty million, three hundred thousand, one hundred thirteen".