23313212120300 has 144 divisors (see below), whose sum is σ = 51395447980800. Its totient is φ = 9178225056000.

The previous prime is 23313212120281. The next prime is 23313212120369. The reversal of 23313212120300 is 302121231332.

It is a super-2 number, since 2×23313212120300² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 826373195 + ... + 826401405.

It is an arithmetic number, because the mean of its divisors is an integer number (356912833200).

Almost surely, 2^{23313212120300} is an apocalyptic number.

23313212120300 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 23313212120300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25697723990400).

23313212120300 is an abundant number, since it is smaller than the sum of its proper divisors (28082235860500).

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

23313212120300 is a wasteful number, since it uses less digits than its factorization.

23313212120300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28872 (or 28865 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 23313212120300 its reverse (302121231332), we get a palindrome (23615333351632).

The spelling of 23313212120300 in words is "twenty-three trillion, three hundred thirteen billion, two hundred twelve million, one hundred twenty thousand, three hundred".