13114334330220 has 192 divisors, whose sum is σ = 39705525457920. Its totient is φ = 3224249183232.

The previous prime is 13114334330183. The next prime is 13114334330239. The reversal of 13114334330220 is 2203343341131.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 23212614 + ... + 23770866.

It is an arithmetic number, because the mean of its divisors is an integer number (206799611760).

Almost surely, 2^{13114334330220} is an apocalyptic number.

13114334330220 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 13114334330220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19852762728960).

13114334330220 is an abundant number, since it is smaller than the sum of its proper divisors (26591191127700).

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

13114334330220 is a wasteful number, since it uses less digits than its factorization.

13114334330220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 558904 (or 558902 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 30.

Adding to 13114334330220 its reverse (2203343341131), we get a palindrome (15317677671351).

The spelling of 13114334330220 in words is "thirteen trillion, one hundred fourteen billion, three hundred thirty-four million, three hundred thirty thousand, two hundred twenty".