34101014013 has 80 divisors (see below), whose sum is σ = 56119219200. Its totient is φ = 20549576880.

The previous prime is 34101013987. The next prime is 34101014071. The reversal of 34101014013 is 31041010143.

It is not a de Polignac number, because 34101014013 - 2⁵ = 34101013981 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34101014713) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 51746278 + ... + 51746936.

It is an arithmetic number, because the mean of its divisors is an integer number (701490240).

Almost surely, 2^34101014013 is an apocalyptic number.

34101014013 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

34101014013 is a deficient number, since it is larger than the sum of its proper divisors (22018205187).

34101014013 is an frugal number, since it uses more digits than its factorization.

34101014013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 936 (or 912 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 34101014013 its reverse (31041010143), we get a palindrome (65142024156).

The spelling of 34101014013 in words is "thirty-four billion, one hundred one million, fourteen thousand, thirteen".