344034320321313 has 12 divisors (see below), whose sum is σ = 510369231948628. Its totient is φ = 223157396964960.

The previous prime is 344034320321261. The next prime is 344034320321323. The reversal of 344034320321313 is 313123023430443.

344034320321313 is a `hidden beast` number, since 3 + 4 + 4 + 0 + 3 + 4 + 320 + 321 + 3 + 1 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 290004278958144 + 54030041363169 = 17029512^2 + 7350513^2 .

It is not a de Polignac number, because 344034320321313 - 2¹² = 344034320317217 is a prime.

It is a super-2 number, since 2×344034320321313² (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (344034320321323) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 516568048198 + ... + 516568048863.

Almost surely, 2^{344034320321313} is an apocalyptic number.

It is an amenable number.

344034320321313 is a deficient number, since it is larger than the sum of its proper divisors (166334911627315).

344034320321313 is a wasteful number, since it uses less digits than its factorization.

344034320321313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1033136097104 (or 1033136097101 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 36.

Adding to 344034320321313 its reverse (313123023430443), we get a palindrome (657157343751756).

The spelling of 344034320321313 in words is "three hundred forty-four trillion, thirty-four billion, three hundred twenty million, three hundred twenty-one thousand, three hundred thirteen".