344101022133 has 16 divisors (see below), whose sum is σ = 501001804800. Its totient is φ = 208341396080.

The previous prime is 344101022119. The next prime is 344101022173. The reversal of 344101022133 is 331220101443.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 344101022133 - 2²⁹ = 343564151221 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (344101022173) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5082813 + ... + 5150066.

It is an arithmetic number, because the mean of its divisors is an integer number (31312612800).

Almost surely, 2^344101022133 is an apocalyptic number.

344101022133 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

344101022133 is a deficient number, since it is larger than the sum of its proper divisors (156900782667).

344101022133 is a wasteful number, since it uses less digits than its factorization.

344101022133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10233912.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 344101022133 its reverse (331220101443), we get a palindrome (675321123576).

The spelling of 344101022133 in words is "three hundred forty-four billion, one hundred one million, twenty-two thousand, one hundred thirty-three".