413020214013 has 16 divisors (see below), whose sum is σ = 604229265216. Its totient is φ = 248868368640.

The previous prime is 413020214011. The next prime is 413020214039. The reversal of 413020214013 is 310412020314.

413020214013 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 413020214013 - 2¹ = 413020214011 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413020214011) 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, 36167020 + ... + 36178437.

It is an arithmetic number, because the mean of its divisors is an integer number (37764329076).

Almost surely, 2^413020214013 is an apocalyptic number.

It is an amenable number.

413020214013 is a deficient number, since it is larger than the sum of its proper divisors (191209051203).

413020214013 is a wasteful number, since it uses less digits than its factorization.

413020214013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72345644.

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

Adding to 413020214013 its reverse (310412020314), we get a palindrome (723432234327).

The spelling of 413020214013 in words is "four hundred thirteen billion, twenty million, two hundred fourteen thousand, thirteen".