10013223304044 has 96 divisors (see below), whose sum is σ = 27506204591040. Its totient is φ = 3139240541184.

The previous prime is 10013223304009. The next prime is 10013223304087. The reversal of 10013223304044 is 44040332231001.

10013223304044 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 3 + 223 + 30 + 404 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 10013223303999 and 10013223304017.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 790962 + ... + 4544454.

It is an arithmetic number, because the mean of its divisors is an integer number (286522964490).

Almost surely, 2^{10013223304044} 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 10013223304044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13753102295520).

10013223304044 is an abundant number, since it is smaller than the sum of its proper divisors (17492981286996).

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

10013223304044 is a wasteful number, since it uses less digits than its factorization.

10013223304044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3754976 (or 3754968 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 10013223304044 its reverse (44040332231001), we get a palindrome (54053555535045).

The spelling of 10013223304044 in words is "ten trillion, thirteen billion, two hundred twenty-three million, three hundred four thousand, forty-four".