13123224114 has 128 divisors (see below), whose sum is σ = 37095045120. Its totient is φ = 2980800000.

The previous prime is 13123224097. The next prime is 13123224131. The reversal of 13123224114 is 41142232131.

It is an interprime number because it is at equal distance from previous prime (13123224097) and next prime (13123224131).

It is a super-2 number, since 2×13123224114² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 56614 + ... + 171614.

It is an arithmetic number, because the mean of its divisors is an integer number (289805040).

Almost surely, 2^13123224114 is an apocalyptic number.

13123224114 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13123224114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18547522560).

13123224114 is an abundant number, since it is smaller than the sum of its proper divisors (23971821006).

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

13123224114 is a wasteful number, since it uses less digits than its factorization.

13123224114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115056.

The product of its digits is 1152, while the sum is 24.

Adding to 13123224114 its reverse (41142232131), we get a palindrome (54265456245).

The spelling of 13123224114 in words is "thirteen billion, one hundred twenty-three million, two hundred twenty-four thousand, one hundred fourteen".