13214431422114 has 96 divisors (see below), whose sum is σ = 28705053984768. Its totient is φ = 4053657816000.

The previous prime is 13214431422083. The next prime is 13214431422119. The reversal of 13214431422114 is 41122413441231.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (13214431422119) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 660348369 + ... + 660368379.

It is an arithmetic number, because the mean of its divisors is an integer number (299010979008).

Almost surely, 2^{13214431422114} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13214431422114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14352526992384).

13214431422114 is an abundant number, since it is smaller than the sum of its proper divisors (15490622562654).

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

13214431422114 is a wasteful number, since it uses less digits than its factorization.

13214431422114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21984 (or 21971 counting only the distinct ones).

The product of its digits is 18432, while the sum is 33.

Adding to 13214431422114 its reverse (41122413441231), we get a palindrome (54336844863345).

The spelling of 13214431422114 in words is "thirteen trillion, two hundred fourteen billion, four hundred thirty-one million, four hundred twenty-two thousand, one hundred fourteen".