33001002000000 has 336 divisors, whose sum is σ = 118703321398350. Its totient is φ = 8800262400000.

The previous prime is 33001001999939. The next prime is 33001002000011. The reversal of 33001002000000 is 20010033.

It is a happy number.

It can be written as a sum of positive squares in 7 ways, for example, as 26201048740416 + 6799953259584 = 5118696^2 + 2607672^2 .

It is a super-2 number, since 2×33001002000000² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 17083306 + ... + 18916694.

Almost surely, 2^{33001002000000} is an apocalyptic number.

33001002000000 is a gapful number since it is divisible by the number (30) 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 33001002000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59351660699175).

33001002000000 is an abundant number, since it is smaller than the sum of its proper divisors (85702319398350).

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

33001002000000 is an frugal number, since it uses more digits than its factorization.

33001002000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1833439 (or 1833399 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 9.

Adding to 33001002000000 its reverse (20010033), we get a palindrome (33001022010033).

The spelling of 33001002000000 in words is "thirty-three trillion, one billion, two million", and thus it is an aban number and an uban number.