414131112013 has 2 divisors, whose sum is σ = 414131112014. Its totient is φ = 414131112012.

The previous prime is 414131112011. The next prime is 414131112019. The reversal of 414131112013 is 310211131414.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 413092854729 + 1038257284 = 642723^2 + 32222^2 .

It is a cyclic number.

It is not a de Polignac number, because 414131112013 - 2¹ = 414131112011 is a prime.

Together with 414131112011, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (414131112011) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 207065556006 + 207065556007.

It is an arithmetic number, because the mean of its divisors is an integer number (207065556007).

Almost surely, 2^414131112013 is an apocalyptic number.

It is an amenable number.

414131112013 is a deficient number, since it is larger than the sum of its proper divisors (1).

414131112013 is an equidigital number, since it uses as much as digits as its factorization.

414131112013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 22.

Adding to 414131112013 its reverse (310211131414), we get a palindrome (724342243427).

The spelling of 414131112013 in words is "four hundred fourteen billion, one hundred thirty-one million, one hundred twelve thousand, thirteen".