23100113213200 has 360 divisors, whose sum is σ = 58398828001416. Its totient is φ = 8780209152000.

The previous prime is 23100113213197. The next prime is 23100113213297. The reversal of 23100113213200 is 231231100132.

It can be written as a sum of positive squares in 12 ways, for example, as 10983364861456 + 12116748351744 = 3314116^2 + 3480912^2 .

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 71 ways as a sum of consecutive naturals, for example, 34947220870 + ... + 34947221530.

Almost surely, 2^{23100113213200} is an apocalyptic number.

23100113213200 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 23100113213200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29199414000708).

23100113213200 is an abundant number, since it is smaller than the sum of its proper divisors (35298714788216).

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

23100113213200 is a wasteful number, since it uses less digits than its factorization.

23100113213200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1563 (or 1529 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 23100113213200 its reverse (231231100132), we get a palindrome (23331344313332).

The spelling of 23100113213200 in words is "twenty-three trillion, one hundred billion, one hundred thirteen million, two hundred thirteen thousand, two hundred".