413321101 has 2 divisors, whose sum is σ = 413321102. Its totient is φ = 413321100.

The previous prime is 413321099. The next prime is 413321107. The reversal of 413321101 is 101123314.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 208802500 + 204518601 = 14450^2 + 14301^2 .

It is a cyclic number.

It is not a de Polignac number, because 413321101 - 2¹ = 413321099 is a prime.

Together with 413321099, 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 (413321107) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 206660550 + 206660551.

It is an arithmetic number, because the mean of its divisors is an integer number (206660551).

Almost surely, 2^413321101 is an apocalyptic number.

It is an amenable number.

413321101 is a deficient number, since it is larger than the sum of its proper divisors (1).

413321101 is an equidigital number, since it uses as much as digits as its factorization.

413321101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 413321101 is about 20330.3000715681. The cubic root of 413321101 is about 744.8963722355.

Adding to 413321101 its reverse (101123314), we get a palindrome (514444415).

The spelling of 413321101 in words is "four hundred thirteen million, three hundred twenty-one thousand, one hundred one".