10033233000000 has 1568 divisors, whose sum is σ = 39897809301504. Its totient is φ = 2177280000000.

The previous prime is 10033232999963. The next prime is 10033233000029. The reversal of 10033233000000 is 33233001.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 37022999865 + ... + 37023000135.

Almost surely, 2^{10033233000000} is an apocalyptic number.

10033233000000 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 10033233000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19948904650752).

10033233000000 is an abundant number, since it is smaller than the sum of its proper divisors (29864576301504).

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

10033233000000 is an frugal number, since it uses more digits than its factorization.

10033233000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 407 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 15.

Adding to 10033233000000 its reverse (33233001), we get a palindrome (10033266233001).

The spelling of 10033233000000 in words is "ten trillion, thirty-three billion, two hundred thirty-three million", and thus it is an aban number.