2300213324233 has 12 divisors (see below), whose sum is σ = 2545302356100. Its totient is φ = 2077068757280.

The previous prime is 2300213324231. The next prime is 2300213324237. The reversal of 2300213324233 is 3324233120032.

It can be written as a sum of positive squares in 2 ways, for example, as 1214432652169 + 1085780672064 = 1102013^2 + 1042008^2 .

It is not a de Polignac number, because 2300213324233 - 2¹ = 2300213324231 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2300213324231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 63774010 + ... + 63810067.

It is an arithmetic number, because the mean of its divisors is an integer number (212108529675).

Almost surely, 2^{2300213324233} is an apocalyptic number.

It is an amenable number.

2300213324233 is a deficient number, since it is larger than the sum of its proper divisors (245089031867).

2300213324233 is a wasteful number, since it uses less digits than its factorization.

2300213324233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127584248 (or 127584237 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 28.

Adding to 2300213324233 its reverse (3324233120032), we get a palindrome (5624446444265).

The spelling of 2300213324233 in words is "two trillion, three hundred billion, two hundred thirteen million, three hundred twenty-four thousand, two hundred thirty-three".