42213100013 has 24 divisors (see below), whose sum is σ = 50269595040. Its totient is φ = 35333111520.

The previous prime is 42213100009. The next prime is 42213100021. The reversal of 42213100013 is 31000131224.

42213100013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 42213100013 - 2² = 42213100009 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 42213099964 and 42213100000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42213100003) 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, 364670 + ... + 466272.

It is an arithmetic number, because the mean of its divisors is an integer number (2094566460).

Almost surely, 2^42213100013 is an apocalyptic number.

It is an amenable number.

42213100013 is a deficient number, since it is larger than the sum of its proper divisors (8056495027).

42213100013 is a wasteful number, since it uses less digits than its factorization.

42213100013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101817 (or 101810 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 42213100013 its reverse (31000131224), we get a palindrome (73213231237).

The spelling of 42213100013 in words is "forty-two billion, two hundred thirteen million, one hundred thousand, thirteen".