33001330113100 has 72 divisors (see below), whose sum is σ = 74728705056768. Its totient is φ = 12626221608000.

The previous prime is 33001330113049. The next prime is 33001330113107. The reversal of 33001330113100 is 131103310033.

It is a happy number.

It is a super-4 number, since 4×33001330113100⁴ (a number of 55 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (33001330113107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 84783925 + ... + 85172275.

It is an arithmetic number, because the mean of its divisors is an integer number (1037898681344).

Almost surely, 2^{33001330113100} is an apocalyptic number.

It is an amenable number.

33001330113100 is an abundant number, since it is smaller than the sum of its proper divisors (41727374943668).

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

33001330113100 is a wasteful number, since it uses less digits than its factorization.

33001330113100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425335 (or 425328 counting only the distinct ones).

The product of its (nonzero) digits is 243, while the sum is 19.

Adding to 33001330113100 its reverse (131103310033), we get a palindrome (33132433423133).

The spelling of 33001330113100 in words is "thirty-three trillion, one billion, three hundred thirty million, one hundred thirteen thousand, one hundred".