23001330313 has 8 divisors (see below), whose sum is σ = 24907520456. Its totient is φ = 21114691200.

The previous prime is 23001330301. The next prime is 23001330323. The reversal of 23001330313 is 31303310032.

It can be written as a sum of positive squares in 4 ways, for example, as 125372809 + 22875957504 = 11197^2 + 151248^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 23001330313 - 2¹⁷ = 23001199241 is a prime.

It is a super-3 number, since 3×23001330313³ (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (23001330323) 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 7 ways as a sum of consecutive naturals, for example, 4885308 + ... + 4890013.

It is an arithmetic number, because the mean of its divisors is an integer number (3113440057).

Almost surely, 2^23001330313 is an apocalyptic number.

It is an amenable number.

23001330313 is a deficient number, since it is larger than the sum of its proper divisors (1906190143).

23001330313 is a wasteful number, since it uses less digits than its factorization.

23001330313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9775515.

The product of its (nonzero) digits is 486, while the sum is 19.

Adding to 23001330313 its reverse (31303310032), we get a palindrome (54304640345).

The spelling of 23001330313 in words is "twenty-three billion, one million, three hundred thirty thousand, three hundred thirteen".