10013204113984 has 112 divisors (see below), whose sum is σ = 20828323900800. Its totient is φ = 4767130976256.

The previous prime is 10013204113973. The next prime is 10013204114003. The reversal of 10013204113984 is 48931140231001.

It is a happy number.

It is a super-2 number, since 2×10013204113984² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 631381447 + ... + 631397305.

Almost surely, 2^{10013204113984} 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 10013204113984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10414161950400).

10013204113984 is an abundant number, since it is smaller than the sum of its proper divisors (10815119786816).

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

10013204113984 is a wasteful number, since it uses less digits than its factorization.

10013204113984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17820 (or 17810 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 37.

Adding to 10013204113984 its reverse (48931140231001), we get a palindrome (58944344344985).

The spelling of 10013204113984 in words is "ten trillion, thirteen billion, two hundred four million, one hundred thirteen thousand, nine hundred eighty-four".