33020001300 has 288 divisors, whose sum is σ = 113672724480. Its totient is φ = 7294809600.

The previous prime is 33020001283. The next prime is 33020001319. The reversal of 33020001300 is 310002033.

It is a happy number.

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 95 ways as a sum of consecutive naturals, for example, 3384229 + ... + 3393971.

It is an arithmetic number, because the mean of its divisors is an integer number (394696960).

Almost surely, 2^33020001300 is an apocalyptic number.

33020001300 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 33020001300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56836362240).

33020001300 is an abundant number, since it is smaller than the sum of its proper divisors (80652723180).

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

33020001300 is a wasteful number, since it uses less digits than its factorization.

33020001300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9863 (or 9856 counting only the distinct ones).

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

Adding to 33020001300 its reverse (310002033), we get a palindrome (33330003333).

The spelling of 33020001300 in words is "thirty-three billion, twenty million, one thousand, three hundred".