10113002400000 has 432 divisors, whose sum is σ = 33675555126528. Its totient is φ = 2694113280000.

The previous prime is 10113002399959. The next prime is 10113002400013. The reversal of 10113002400000 is 420031101.

It is a happy number.

It is a super-3 number, since 3×10113002400000³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

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 47 ways as a sum of consecutive naturals, for example, 3976798729 + ... + 3976801271.

It is an arithmetic number, because the mean of its divisors is an integer number (77952673904).

Almost surely, 2^{10113002400000} is an apocalyptic number.

10113002400000 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 10113002400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16837777563264).

10113002400000 is an abundant number, since it is smaller than the sum of its proper divisors (23562552726528).

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

10113002400000 is an frugal number, since it uses more digits than its factorization.

10113002400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4244 (or 4210 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 10113002400000 its reverse (420031101), we get a palindrome (10113422431101).

The spelling of 10113002400000 in words is "ten trillion, one hundred thirteen billion, two million, four hundred thousand".