3320033300133 has 128 divisors (see below), whose sum is σ = 5033393823744. Its totient is φ = 1929650688000.

The previous prime is 3320033300131. The next prime is 3320033300149. The reversal of 3320033300133 is 3310033300233.

It is a happy number.

It is not a de Polignac number, because 3320033300133 - 2¹ = 3320033300131 is a prime.

It is a super-2 number, since 2×3320033300133² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3320033300131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3433332816 + ... + 3433333782.

It is an arithmetic number, because the mean of its divisors is an integer number (39323389248).

Almost surely, 2^{3320033300133} is an apocalyptic number.

3320033300133 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

3320033300133 is a deficient number, since it is larger than the sum of its proper divisors (1713360523611).

3320033300133 is a wasteful number, since it uses less digits than its factorization.

3320033300133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1395.

The product of its (nonzero) digits is 4374, while the sum is 24.

Adding to 3320033300133 its reverse (3310033300233), we get a palindrome (6630066600366).

It can be divided in two parts, 33200 and 33300133, that added together give a palindrome (33333333).

The spelling of 3320033300133 in words is "three trillion, three hundred twenty billion, thirty-three million, three hundred thousand, one hundred thirty-three".