23200213101000 has 384 divisors, whose sum is σ = 80548566134400. Its totient is φ = 5526592704000.

The previous prime is 23200213100983. The next prime is 23200213101007. The reversal of 23200213101000 is 10131200232.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (23200213101007) 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 95 ways as a sum of consecutive naturals, for example, 37169491 + ... + 37788509.

It is an arithmetic number, because the mean of its divisors is an integer number (209761890975).

Almost surely, 2^{23200213101000} is an apocalyptic number.

23200213101000 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 23200213101000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40274283067200).

23200213101000 is an abundant number, since it is smaller than the sum of its proper divisors (57348353033400).

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

23200213101000 is a wasteful number, since it uses less digits than its factorization.

23200213101000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 619118 (or 619073 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 23200213101000 its reverse (10131200232), we get a palindrome (23210344301232).

The spelling of 23200213101000 in words is "twenty-three trillion, two hundred billion, two hundred thirteen million, one hundred one thousand".