42334102013 has 16 divisors (see below), whose sum is σ = 50948578560. Its totient is φ = 34390262016.

The previous prime is 42334101917. The next prime is 42334102021. The reversal of 42334102013 is 31020143324.

It is a cyclic number.

It is not a de Polignac number, because 42334102013 - 2⁸ = 42334101757 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 42334102013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42334122013) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1188620 + ... + 1223717.

It is an arithmetic number, because the mean of its divisors is an integer number (3184286160).

Almost surely, 2^42334102013 is an apocalyptic number.

It is an amenable number.

42334102013 is a deficient number, since it is larger than the sum of its proper divisors (8614476547).

42334102013 is a wasteful number, since it uses less digits than its factorization.

42334102013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2412476.

The product of its (nonzero) digits is 1728, while the sum is 23.

Adding to 42334102013 its reverse (31020143324), we get a palindrome (73354245337).

The spelling of 42334102013 in words is "forty-two billion, three hundred thirty-four million, one hundred two thousand, thirteen".