3300013023100 has 72 divisors (see below), whose sum is σ = 7220116195488. Its totient is φ = 1309131648000.

The previous prime is 3300013023079. The next prime is 3300013023101. The reversal of 3300013023100 is 13203100033.

It is a super-2 number, since 2×3300013023100² (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 (3300013023101) 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 23 ways as a sum of consecutive naturals, for example, 14449800 + ... + 14676400.

It is an arithmetic number, because the mean of its divisors is an integer number (100279391604).

Almost surely, 2^{3300013023100} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3300013023100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3610058097744).

3300013023100 is an abundant number, since it is smaller than the sum of its proper divisors (3920103172388).

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

3300013023100 is a wasteful number, since it uses less digits than its factorization.

3300013023100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227815 (or 227808 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 16.

Adding to 3300013023100 its reverse (13203100033), we get a palindrome (3313216123133).

The spelling of 3300013023100 in words is "three trillion, three hundred billion, thirteen million, twenty-three thousand, one hundred".