3300133101012 has 144 divisors (see below), whose sum is σ = 9190203422400. Its totient is φ = 990180910080.

The previous prime is 3300133100951. The next prime is 3300133101019. The reversal of 3300133101012 is 2101013310033.

It is a happy number.

3300133101012 is a `hidden beast` number, since 330 + 0 + 1 + 3 + 310 + 10 + 12 = 666.

It is a super-4 number, since 4×3300133101012⁴ (a number of 51 digits) contains 4444 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3300133101019) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 64245523 + ... + 64296869.

It is an arithmetic number, because the mean of its divisors is an integer number (63820857100).

Almost surely, 2^{3300133101012} 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 3300133101012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4595101711200).

3300133101012 is an abundant number, since it is smaller than the sum of its proper divisors (5890070321388).

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

3300133101012 is a wasteful number, since it uses less digits than its factorization.

3300133101012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52966 (or 52961 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 3300133101012 its reverse (2101013310033), we get a palindrome (5401146411045).

The spelling of 3300133101012 in words is "three trillion, three hundred billion, one hundred thirty-three million, one hundred one thousand, twelve".