23300413000000 has 98 divisors (see below), whose sum is σ = 57795209000918. Its totient is φ = 9320164800000.

The previous prime is 23300412999979. The next prime is 23300413000019. The reversal of 23300413000000 is 31400332.

It can be written as a sum of positive squares in 7 ways, for example, as 20483010465856 + 2817402534144 = 4525816^2 + 1678512^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 10650207 + ... + 12650206.

Almost surely, 2^{23300413000000} is an apocalyptic number.

23300413000000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23300413000000 is an abundant number, since it is smaller than the sum of its proper divisors (34494796000918).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

23300413000000 is an frugal number, since it uses more digits than its factorization.

23300413000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23300455 (or 23300420 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

Adding to 23300413000000 its reverse (31400332), we get a palindrome (23300444400332).

The spelling of 23300413000000 in words is "twenty-three trillion, three hundred billion, four hundred thirteen million", and thus it is an aban number.