33100013040 has 160 divisors (see below), whose sum is σ = 106246771200. Its totient is φ = 8514401280.

The previous prime is 33100013033. The next prime is 33100013083. The reversal of 33100013040 is 4031000133.

It is a super-2 number, since 2×33100013040² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13076575 + ... + 13079105.

It is an arithmetic number, because the mean of its divisors is an integer number (664042320).

Almost surely, 2^33100013040 is an apocalyptic number.

33100013040 is a gapful number since it is divisible by the number (30) 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 33100013040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53123385600).

33100013040 is an abundant number, since it is smaller than the sum of its proper divisors (73146758160).

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

33100013040 is a wasteful number, since it uses less digits than its factorization.

33100013040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4455 (or 4449 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 33100013040 its reverse (4031000133), we get a palindrome (37131013173).

The spelling of 33100013040 in words is "thirty-three billion, one hundred million, thirteen thousand, forty".