33130333113312 has 24 divisors (see below), whose sum is σ = 86967124422696. Its totient is φ = 11043444371072.

The previous prime is 33130333113307. The next prime is 33130333113313. The reversal of 33130333113312 is 21331133303133.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-3 number, since 3×33130333113312³ (a number of 42 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 33130333113312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33130333113313) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 172553818203 + ... + 172553818394.

It is an arithmetic number, because the mean of its divisors is an integer number (3623630184279).

Almost surely, 2^{33130333113312} is an apocalyptic number.

33130333113312 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

33130333113312 is an abundant number, since it is smaller than the sum of its proper divisors (53836791309384).

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

33130333113312 is a wasteful number, since it uses less digits than its factorization.

33130333113312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345107636610 (or 345107636602 counting only the distinct ones).

The product of its (nonzero) digits is 13122, while the sum is 30.

Adding to 33130333113312 its reverse (21331133303133), we get a palindrome (54461466416445).

The spelling of 33130333113312 in words is "thirty-three trillion, one hundred thirty billion, three hundred thirty-three million, one hundred thirteen thousand, three hundred twelve".