10033123000 has 128 divisors (see below), whose sum is σ = 23999976000. Its totient is φ = 3924979200.

The previous prime is 10033122977. The next prime is 10033123007. The reversal of 10033123000 is 32133001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10033123007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9046446 + ... + 9047554.

Almost surely, 2^10033123000 is an apocalyptic number.

10033123000 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 10033123000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11999988000).

10033123000 is an abundant number, since it is smaller than the sum of its proper divisors (13966853000).

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

10033123000 is a wasteful number, since it uses less digits than its factorization.

10033123000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1322 (or 1308 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 13.

Adding to 10033123000 its reverse (32133001), we get a palindrome (10065256001).

The spelling of 10033123000 in words is "ten billion, thirty-three million, one hundred twenty-three thousand".