10013113230120 has 1024 divisors, whose sum is σ = 47172658176000. Its totient is φ = 1819509350400.

The previous prime is 10013113230083. The next prime is 10013113230143. The reversal of 10013113230120 is 2103231131001.

10013113230120 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 311 + 3 + 230 + 120 = 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 = 10013113230093 and 10013113230102.

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 255 ways as a sum of consecutive naturals, for example, 20296780 + ... + 20784260.

It is an arithmetic number, because the mean of its divisors is an integer number (46067049000).

Almost surely, 2^{10013113230120} is an apocalyptic number.

10013113230120 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 10013113230120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23586329088000).

10013113230120 is an abundant number, since it is smaller than the sum of its proper divisors (37159544945880).

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

10013113230120 is a wasteful number, since it uses less digits than its factorization.

10013113230120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 487551 (or 487541 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 10013113230120 its reverse (2103231131001), we get a palindrome (12116344361121).

The spelling of 10013113230120 in words is "ten trillion, thirteen billion, one hundred thirteen million, two hundred thirty thousand, one hundred twenty".