23301312513000 has 256 divisors, whose sum is σ = 73017504967680. Its totient is φ = 6186585600000.

The previous prime is 23301312512987. The next prime is 23301312513023. The reversal of 23301312513000 is 31521310332.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 1317864160 + ... + 1317881840.

It is an arithmetic number, because the mean of its divisors is an integer number (285224628780).

Almost surely, 2^{23301312513000} is an apocalyptic number.

23301312513000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23301312513000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36508752483840).

23301312513000 is an abundant number, since it is smaller than the sum of its proper divisors (49716192454680).

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

23301312513000 is a wasteful number, since it uses less digits than its factorization.

23301312513000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19597 (or 19583 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 24.

Adding to 23301312513000 its reverse (31521310332), we get a palindrome (23332833823332).

The spelling of 23301312513000 in words is "twenty-three trillion, three hundred one billion, three hundred twelve million, five hundred thirteen thousand".