10033033002000 has 320 divisors, whose sum is σ = 33257929356288. Its totient is φ = 2600570880000.

The previous prime is 10033033001993. The next prime is 10033033002023. The reversal of 10033033002000 is 20033033001.

It is a super-2 number, since 2×10033033002000² (a number of 27 digits) contains 22 as substring.

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 63 ways as a sum of consecutive naturals, for example, 66590752 + ... + 66741248.

Almost surely, 2^{10033033002000} is an apocalyptic number.

10033033002000 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 10033033002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16628964678144).

10033033002000 is an abundant number, since it is smaller than the sum of its proper divisors (23224896354288).

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

10033033002000 is a wasteful number, since it uses less digits than its factorization.

10033033002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150835 (or 150819 counting only the distinct ones).

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

Adding to 10033033002000 its reverse (20033033001), we get a palindrome (10053066035001).

The spelling of 10033033002000 in words is "ten trillion, thirty-three billion, thirty-three million, two thousand".