23001313000320 has 192 divisors, whose sum is σ = 81988551815040. Its totient is φ = 5935822663680.

The previous prime is 23001313000283. The next prime is 23001313000331. The reversal of 23001313000320 is 2300031310032.

23001313000320 is a `hidden beast` number, since 2 + 30 + 0 + 1 + 313 + 0 + 0 + 0 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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 = 23001313000293 and 23001313000302.

It is a congruent number.

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, 64229239 + ... + 64586358.

It is an arithmetic number, because the mean of its divisors is an integer number (427023707370).

Almost surely, 2^{23001313000320} is an apocalyptic number.

23001313000320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23001313000320 is an abundant number, since it is smaller than the sum of its proper divisors (58987238814720).

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

23001313000320 is a wasteful number, since it uses less digits than its factorization.

23001313000320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128815653 (or 128815638 counting only the distinct ones).

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

Adding to 23001313000320 its reverse (2300031310032), we get a palindrome (25301344310352).

The spelling of 23001313000320 in words is "twenty-three trillion, one billion, three hundred thirteen million, three hundred twenty", and thus it is an aban number.