13233100023000 has 1152 divisors, whose sum is σ = 53268440097600. Its totient is φ = 2960717760000.

The previous prime is 13233100022981. The next prime is 13233100023029. The reversal of 13233100023000 is 32000133231.

13233100023000 is a `hidden beast` number, since 1 + 32 + 331 + 0 + 0 + 0 + 2 + 300 + 0 = 666.

It is a super-2 number, since 2×13233100023000² (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2392530235 + ... + 2392535765.

Almost surely, 2^{13233100023000} is an apocalyptic number.

13233100023000 is a gapful number since it is divisible by the number (10) 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 13233100023000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26634220048800).

13233100023000 is an abundant number, since it is smaller than the sum of its proper divisors (40035340074600).

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

13233100023000 is a wasteful number, since it uses less digits than its factorization.

13233100023000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5619 (or 5565 counting only the distinct ones).

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

Adding to 13233100023000 its reverse (32000133231), we get a palindrome (13265100156231).

The spelling of 13233100023000 in words is "thirteen trillion, two hundred thirty-three billion, one hundred million, twenty-three thousand".