13113001323114 has 128 divisors (see below), whose sum is σ = 32903205488640. Its totient is φ = 3384538214400.

The previous prime is 13113001323091. The next prime is 13113001323131. The reversal of 13113001323114 is 41132310031131.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 716979282 + ... + 716997570.

It is an arithmetic number, because the mean of its divisors is an integer number (257056292880).

Almost surely, 2^{13113001323114} is an apocalyptic number.

13113001323114 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 13113001323114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16451602744320).

13113001323114 is an abundant number, since it is smaller than the sum of its proper divisors (19790204165526).

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

13113001323114 is a wasteful number, since it uses less digits than its factorization.

13113001323114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27996.

The product of its (nonzero) digits is 648, while the sum is 24.

Adding to 13113001323114 its reverse (41132310031131), we get a palindrome (54245311354245).

The spelling of 13113001323114 in words is "thirteen trillion, one hundred thirteen billion, one million, three hundred twenty-three thousand, one hundred fourteen".