33381100113348 has 96 divisors (see below), whose sum is σ = 84569580748800. Its totient is φ = 10187056278144.

The previous prime is 33381100113341. The next prime is 33381100113349. The reversal of 33381100113348 is 84331100118333.

It is a happy number.

It is a super-2 number, since 2×33381100113348² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (33381100113341) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9134283 + ... + 12255501.

It is an arithmetic number, because the mean of its divisors is an integer number (880933132800).

Almost surely, 2^{33381100113348} 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 33381100113348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42284790374400).

33381100113348 is an abundant number, since it is smaller than the sum of its proper divisors (51188480635452).

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

33381100113348 is a wasteful number, since it uses less digits than its factorization.

33381100113348 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3121801 (or 3121799 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The spelling of 33381100113348 in words is "thirty-three trillion, three hundred eighty-one billion, one hundred million, one hundred thirteen thousand, three hundred forty-eight".