33001320000 has 560 divisors, whose sum is σ = 124318605312. Its totient is φ = 7645440000.

The previous prime is 33001319983. The next prime is 33001320029. The reversal of 33001320000 is 2310033.

It is a happy number.

It is a super-4 number, since 4×33001320000⁴ (a number of 43 digits) contains 4444 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 30359457 + ... + 30360543.

Almost surely, 2^33001320000 is an apocalyptic number.

33001320000 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 33001320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62159302656).

33001320000 is an abundant number, since it is smaller than the sum of its proper divisors (91317285312).

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

33001320000 is a wasteful number, since it uses less digits than its factorization.

33001320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1156 (or 1131 counting only the distinct ones).

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

Adding to 33001320000 its reverse (2310033), we get a palindrome (33003630033).

It can be divided in two parts, 3300 and 1320000, that multiplied together give a square (4356000000 = 66000²).

The spelling of 33001320000 in words is "thirty-three billion, one million, three hundred twenty thousand".