3023300013300 has 432 divisors, whose sum is σ = 11019094649472. Its totient is φ = 679006540800.

The previous prime is 3023300013287. The next prime is 3023300013323. The reversal of 3023300013300 is 33100033203.

3023300013300 is a `hidden beast` number, since 3 + 0 + 2 + 330 + 0 + 0 + 1 + 330 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 429259579 + ... + 429266621.

Almost surely, 2^{3023300013300} is an apocalyptic number.

3023300013300 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 3023300013300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5509547324736).

3023300013300 is an abundant number, since it is smaller than the sum of its proper divisors (7995794636172).

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

3023300013300 is a wasteful number, since it uses less digits than its factorization.

3023300013300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8248 (or 8238 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 18.

Adding to 3023300013300 its reverse (33100033203), we get a palindrome (3056400046503).

The spelling of 3023300013300 in words is "three trillion, twenty-three billion, three hundred million, thirteen thousand, three hundred".