10033023000000 has 2352 divisors, whose sum is σ = 44970759366912. Its totient is φ = 1916928000000.

The previous prime is 10033022999999. The next prime is 10033023000031. The reversal of 10033023000000 is 32033001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a self number, because there is not a number n which added to its sum of digits gives 10033023000000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 39038999872 + ... + 39039000128.

Almost surely, 2^{10033023000000} is an apocalyptic number.

10033023000000 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 10033023000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22485379683456).

10033023000000 is an abundant number, since it is smaller than the sum of its proper divisors (34937736366912).

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

10033023000000 is an equidigital number, since it uses as much as digits as its factorization.

10033023000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 12.

Adding to 10033023000000 its reverse (32033001), we get a palindrome (10033055033001).

The spelling of 10033023000000 in words is "ten trillion, thirty-three billion, twenty-three million", and thus it is an aban number and an uban number.