10013133114 has 128 divisors (see below), whose sum is σ = 24475852800. Its totient is φ = 3022375680.

The previous prime is 10013133113. The next prime is 10013133149. The reversal of 10013133114 is 41133131001.

10013133114 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (10013133113) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2638002 + ... + 2641794.

It is an arithmetic number, because the mean of its divisors is an integer number (191217600).

Almost surely, 2^10013133114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10013133114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12237926400).

10013133114 is an abundant number, since it is smaller than the sum of its proper divisors (14462719686).

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

10013133114 is a wasteful number, since it uses less digits than its factorization.

10013133114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3937 (or 3931 counting only the distinct ones).

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

Adding to 10013133114 its reverse (41133131001), we get a palindrome (51146264115).

The spelling of 10013133114 in words is "ten billion, thirteen million, one hundred thirty-three thousand, one hundred fourteen".