10033113420 has 288 divisors, whose sum is σ = 34472116224. Its totient is φ = 2340057600.

The previous prime is 10033113401. The next prime is 10033113449. The reversal of 10033113420 is 2431133001.

10033113420 is a `hidden beast` number, since 10 + 0 + 3 + 311 + 342 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10033113393 and 10033113402.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13687374 + ... + 13688106.

It is an arithmetic number, because the mean of its divisors is an integer number (119694848).

Almost surely, 2^10033113420 is an apocalyptic number.

10033113420 is a gapful number since it is divisible by the number (10) 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 10033113420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17236058112).

10033113420 is an abundant number, since it is smaller than the sum of its proper divisors (24439002804).

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

10033113420 is a wasteful number, since it uses less digits than its factorization.

10033113420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1013 (or 1008 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 10033113420 its reverse (2431133001), we get a palindrome (12464246421).

The spelling of 10033113420 in words is "ten billion, thirty-three million, one hundred thirteen thousand, four hundred twenty".