23000330311301 has 48 divisors (see below), whose sum is σ = 27160023749040. Its totient is φ = 19418504232960.

The previous prime is 23000330311249. The next prime is 23000330311331. The reversal of 23000330311301 is 10311303300032.

It can be written as a sum of positive squares in 8 ways, for example, as 9143517630625 + 13856812680676 = 3023825^2 + 3722474^2 .

It is a de Polignac number, because none of the positive numbers 2^k-23000330311301 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23000330311331) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3522792005 + ... + 3522798533.

It is an arithmetic number, because the mean of its divisors is an integer number (565833828105).

Almost surely, 2^{23000330311301} is an apocalyptic number.

It is an amenable number.

23000330311301 is a deficient number, since it is larger than the sum of its proper divisors (4159693437739).

23000330311301 is a wasteful number, since it uses less digits than its factorization.

23000330311301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10054 (or 10047 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 20.

Adding to 23000330311301 its reverse (10311303300032), we get a palindrome (33311633611333).

The spelling of 23000330311301 in words is "twenty-three trillion, three hundred thirty million, three hundred eleven thousand, three hundred one".