121413223141314 has 96 divisors (see below), whose sum is σ = 265552772198400. Its totient is φ = 36988622820864.

The previous prime is 121413223141253. The next prime is 121413223141333. The reversal of 121413223141314 is 413141322314121.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 46006207 + ... + 48573629.

It is an arithmetic number, because the mean of its divisors is an integer number (2766174710400).

Almost surely, 2^{121413223141314} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121413223141314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132776386099200).

121413223141314 is an abundant number, since it is smaller than the sum of its proper divisors (144139549057086).

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

121413223141314 is a wasteful number, since it uses less digits than its factorization.

121413223141314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2567916 (or 2567903 counting only the distinct ones).

The product of its digits is 13824, while the sum is 33.

Adding to 121413223141314 its reverse (413141322314121), we get a palindrome (534554545455435).

The spelling of 121413223141314 in words is "one hundred twenty-one trillion, four hundred thirteen billion, two hundred twenty-three million, one hundred forty-one thousand, three hundred fourteen".