34305121300113 has 24 divisors (see below), whose sum is σ = 49958769669120. Its totient is φ = 22682935231200.

The previous prime is 34305121300103. The next prime is 34305121300169. The reversal of 34305121300113 is 31100312150343.

34305121300113 is a `hidden beast` number, since 3 + 4 + 3 + 0 + 512 + 1 + 30 + 0 + 113 = 666.

It is not a de Polignac number, because 34305121300113 - 2⁸ = 34305121299857 is a prime.

It is not an unprimeable number, because it can be changed into a prime (34305121300103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27182338 + ... + 28416363.

It is an arithmetic number, because the mean of its divisors is an integer number (2081615402880).

Almost surely, 2^{34305121300113} is an apocalyptic number.

It is an amenable number.

34305121300113 is a deficient number, since it is larger than the sum of its proper divisors (15653648369007).

34305121300113 is a wasteful number, since it uses less digits than its factorization.

34305121300113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55599269 (or 55599266 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

Adding to 34305121300113 its reverse (31100312150343), we get a palindrome (65405433450456).

It can be divided in two parts, 3430512 and 1300113, that added together give a square (4730625 = 2175²).

The spelling of 34305121300113 in words is "thirty-four trillion, three hundred five billion, one hundred twenty-one million, three hundred thousand, one hundred thirteen".