23013230300100 has 216 divisors, whose sum is σ = 74092804480968. Its totient is φ = 5970230323200.

The previous prime is 23013230300003. The next prime is 23013230300101. The reversal of 23013230300100 is 100303231032.

23013230300100 is a `hidden beast` number, since 2 + 30 + 1 + 3 + 230 + 300 + 100 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 10017262980036 + 12995967320064 = 3165006^2 + 3604992^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (23013230300101) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 285707032 + ... + 285787568.

Almost surely, 2^{23013230300100} is an apocalyptic number.

23013230300100 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 23013230300100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37046402240484).

23013230300100 is an abundant number, since it is smaller than the sum of its proper divisors (51079574180868).

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

23013230300100 is a wasteful number, since it uses less digits than its factorization.

23013230300100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89175 (or 89165 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 23013230300100 its reverse (100303231032), we get a palindrome (23113533531132).

The spelling of 23013230300100 in words is "twenty-three trillion, thirteen billion, two hundred thirty million, three hundred thousand, one hundred".