34000110013 has 4 divisors (see below), whose sum is σ = 34023225088. Its totient is φ = 33976994940.

The previous prime is 34000109951. The next prime is 34000110017. The reversal of 34000110013 is 31001100043.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also an emirpimes, since its reverse is a distinct semiprime: 31001100043 = 165667 ⋅187129.

It is a cyclic number.

It is not a de Polignac number, because 34000110013 - 2¹⁷ = 33999978941 is a prime.

It is a super-2 number, since 2×34000110013² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 34000109975 and 34000110002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34000110017) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 11555331 + ... + 11558272.

It is an arithmetic number, because the mean of its divisors is an integer number (8505806272).

Almost surely, 2^34000110013 is an apocalyptic number.

It is an amenable number.

34000110013 is a deficient number, since it is larger than the sum of its proper divisors (23115075).

34000110013 is a wasteful number, since it uses less digits than its factorization.

34000110013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23115074.

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 34000110013 its reverse (31001100043), we get a palindrome (65001210056).

The spelling of 34000110013 in words is "thirty-four billion, one hundred ten thousand, thirteen".