42013201413 has 64 divisors (see below), whose sum is σ = 65569443840. Its totient is φ = 23733844992.

The previous prime is 42013201361. The next prime is 42013201421. The reversal of 42013201413 is 31410231024.

It is not a de Polignac number, because 42013201413 - 2²² = 42009007109 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 42013201413.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42013201423) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3493056 + ... + 3505062.

It is an arithmetic number, because the mean of its divisors is an integer number (1024522560).

Almost surely, 2^42013201413 is an apocalyptic number.

It is an amenable number.

42013201413 is a deficient number, since it is larger than the sum of its proper divisors (23556242427).

42013201413 is a wasteful number, since it uses less digits than its factorization.

42013201413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12226.

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 42013201413 its reverse (31410231024), we get a palindrome (73423432437).

The spelling of 42013201413 in words is "forty-two billion, thirteen million, two hundred one thousand, four hundred thirteen".