13332033013100 has 72 divisors (see below), whose sum is σ = 29504917189440. Its totient is φ = 5227126894080.

The previous prime is 13332033013099. The next prime is 13332033013147. The reversal of 13332033013100 is 131033023331.

It is a super-4 number, since 4×13332033013100⁴ (a number of 54 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4257341 + ... + 6692459.

It is an arithmetic number, because the mean of its divisors is an integer number (409790516520).

Almost surely, 2^{13332033013100} is an apocalyptic number.

13332033013100 is a gapful number since it is divisible by the number (10) 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 13332033013100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14752458594720).

13332033013100 is an abundant number, since it is smaller than the sum of its proper divisors (16172884176340).

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

13332033013100 is a wasteful number, since it uses less digits than its factorization.

13332033013100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2436219 (or 2436212 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 23.

Adding to 13332033013100 its reverse (131033023331), we get a palindrome (13463066036431).

The spelling of 13332033013100 in words is "thirteen trillion, three hundred thirty-two billion, thirty-three million, thirteen thousand, one hundred".