23300213333100 has 288 divisors, whose sum is σ = 77888183337216. Its totient is φ = 5315032473600.

The previous prime is 23300213333071. The next prime is 23300213333107. The reversal of 23300213333100 is 133331200332.

It is a super-2 number, since 2×23300213333100² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (23300213333107) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 252796624 + ... + 252888776.

It is an arithmetic number, because the mean of its divisors is an integer number (270445081032).

Almost surely, 2^{23300213333100} is an apocalyptic number.

23300213333100 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 23300213333100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38944091668608).

23300213333100 is an abundant number, since it is smaller than the sum of its proper divisors (54587970004116).

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

23300213333100 is a wasteful number, since it uses less digits than its factorization.

23300213333100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96705 (or 96698 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 24.

Adding to 23300213333100 its reverse (133331200332), we get a palindrome (23433544533432).

The spelling of 23300213333100 in words is "twenty-three trillion, three hundred billion, two hundred thirteen million, three hundred thirty-three thousand, one hundred".