13114413021320 has 128 divisors (see below), whose sum is σ = 33453263088000. Its totient is φ = 4586903562240.

The previous prime is 13114413021317. The next prime is 13114413021329. The reversal of 13114413021320 is 2312031441131.

It is a super-3 number, since 3×13114413021320³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 13114413021320.

It is not an unprimeable number, because it can be changed into a prime (13114413021329) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 100404455 + ... + 100534985.

It is an arithmetic number, because the mean of its divisors is an integer number (261353617875).

Almost surely, 2^{13114413021320} is an apocalyptic number.

13114413021320 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 13114413021320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16726631544000).

13114413021320 is an abundant number, since it is smaller than the sum of its proper divisors (20338850066680).

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

13114413021320 is a wasteful number, since it uses less digits than its factorization.

13114413021320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140743 (or 140739 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

Adding to 13114413021320 its reverse (2312031441131), we get a palindrome (15426444462451).

The spelling of 13114413021320 in words is "thirteen trillion, one hundred fourteen billion, four hundred thirteen million, twenty-one thousand, three hundred twenty".