34200240010013 has 36 divisors (see below), whose sum is σ = 43851280465440. Its totient is φ = 26575303320720.

The previous prime is 34200240009911. The next prime is 34200240010061. The reversal of 34200240010013 is 31001004200243.

It is not a de Polignac number, because 34200240010013 - 2¹⁴ = 34200239993629 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34200240010093) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5905331 + ... + 10162352.

It is an arithmetic number, because the mean of its divisors is an integer number (1218091124040).

Almost surely, 2^{34200240010013} is an apocalyptic number.

It is an amenable number.

34200240010013 is a deficient number, since it is larger than the sum of its proper divisors (9651040455427).

34200240010013 is a wasteful number, since it uses less digits than its factorization.

34200240010013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16068078 (or 16068060 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 34200240010013 its reverse (31001004200243), we get a palindrome (65201244210256).

The spelling of 34200240010013 in words is "thirty-four trillion, two hundred billion, two hundred forty million, ten thousand, thirteen".