13114421124 has 96 divisors (see below), whose sum is σ = 35721374976. Its totient is φ = 3667023360.

The previous prime is 13114421119. The next prime is 13114421191. The reversal of 13114421124 is 42112441131.

It is a happy number.

13114421124 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 13114421094 and 13114421103.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1870794 + ... + 1877790.

It is an arithmetic number, because the mean of its divisors is an integer number (372097656).

Almost surely, 2^13114421124 is an apocalyptic number.

13114421124 is a gapful number since it is divisible by the number (14) 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 13114421124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17860687488).

13114421124 is an abundant number, since it is smaller than the sum of its proper divisors (22606953852).

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

13114421124 is a wasteful number, since it uses less digits than its factorization.

13114421124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7485 (or 7483 counting only the distinct ones).

The product of its digits is 768, while the sum is 24.

Adding to 13114421124 its reverse (42112441131), we get a palindrome (55226862255).

The spelling of 13114421124 in words is "thirteen billion, one hundred fourteen million, four hundred twenty-one thousand, one hundred twenty-four".