13114401333020 has 96 divisors (see below), whose sum is σ = 29830870895616. Its totient is φ = 4814183404800.

The previous prime is 13114401333001. The next prime is 13114401333041. The reversal of 13114401333020 is 2033310441131.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 51826205 + ... + 52078635.

It is an arithmetic number, because the mean of its divisors is an integer number (310738238496).

Almost surely, 2^{13114401333020} is an apocalyptic number.

13114401333020 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 13114401333020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14915435447808).

13114401333020 is an abundant number, since it is smaller than the sum of its proper divisors (16716469562596).

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

13114401333020 is a wasteful number, since it uses less digits than its factorization.

13114401333020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253611 (or 253609 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 26.

Adding to 13114401333020 its reverse (2033310441131), we get a palindrome (15147711774151).

The spelling of 13114401333020 in words is "thirteen trillion, one hundred fourteen billion, four hundred one million, three hundred thirty-three thousand, twenty".