10000033301104 has 160 divisors (see below), whose sum is σ = 24444131904000. Its totient is φ = 3849787008000.

The previous prime is 10000033301057. The next prime is 10000033301149. The reversal of 10000033301104 is 40110333000001.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 62011042 + ... + 62172094.

It is an arithmetic number, because the mean of its divisors is an integer number (152775824400).

Almost surely, 2^{10000033301104} is an apocalyptic number.

10000033301104 is a gapful number since it is divisible by the number (14) 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 10000033301104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12222065952000).

10000033301104 is an abundant number, since it is smaller than the sum of its proper divisors (14444098602896).

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

10000033301104 is a wasteful number, since it uses less digits than its factorization.

10000033301104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161679 (or 161673 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 10000033301104 its reverse (40110333000001), we get a palindrome (50110366301105).

The spelling of 10000033301104 in words is "ten trillion, thirty-three million, three hundred one thousand, one hundred four".