23010001300224 has 216 divisors, whose sum is σ = 67162145756160. Its totient is φ = 7575410497536.

The previous prime is 23010001300219. The next prime is 23010001300261. The reversal of 23010001300224 is 42200310001032.

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

It is a junction number, because it is equal to n+sod(n) for n = 23010001300197 and 23010001300206.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 749422857 + ... + 749453559.

Almost surely, 2^{23010001300224} is an apocalyptic number.

23010001300224 is a gapful number since it is divisible by the number (24) 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 23010001300224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33581072878080).

23010001300224 is an abundant number, since it is smaller than the sum of its proper divisors (44152144455936).

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

23010001300224 is a wasteful number, since it uses less digits than its factorization.

23010001300224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34727 (or 34710 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 23010001300224 its reverse (42200310001032), we get a palindrome (65210311301256).

The spelling of 23010001300224 in words is "twenty-three trillion, ten billion, one million, three hundred thousand, two hundred twenty-four".