3320131323300 has 144 divisors (see below), whose sum is σ = 10503202252032. Its totient is φ = 803063081600.

The previous prime is 3320131323277. The next prime is 3320131323323. The reversal of 3320131323300 is 33231310233.

It is an interprime number because it is at equal distance from previous prime (3320131323277) and next prime (3320131323323).

It is a super-2 number, since 2×3320131323300² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 326347 + ... + 2597453.

It is an arithmetic number, because the mean of its divisors is an integer number (72938904528).

Almost surely, 2^{3320131323300} is an apocalyptic number.

3320131323300 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 3320131323300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5251601126016).

3320131323300 is an abundant number, since it is smaller than the sum of its proper divisors (7183070928732).

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

3320131323300 is a wasteful number, since it uses less digits than its factorization.

3320131323300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2271578 (or 2271571 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 24.

Adding to 3320131323300 its reverse (33231310233), we get a palindrome (3353362633533).

The spelling of 3320131323300 in words is "three trillion, three hundred twenty billion, one hundred thirty-one million, three hundred twenty-three thousand, three hundred".