413432101 has 2 divisors, whose sum is σ = 413432102. Its totient is φ = 413432100.

The previous prime is 413432099. The next prime is 413432119. The reversal of 413432101 is 101234314.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 413308900 + 123201 = 20330^2 + 351^2 .

It is a cyclic number.

It is not a de Polignac number, because 413432101 - 2¹ = 413432099 is a prime.

It is a super-2 number, since 2×413432101² = 341852204274548402, which contains 22 as substring.

Together with 413432099, 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 (413432141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 206716050 + 206716051.

It is an arithmetic number, because the mean of its divisors is an integer number (206716051).

Almost surely, 2^413432101 is an apocalyptic number.

It is an amenable number.

413432101 is a deficient number, since it is larger than the sum of its proper divisors (1).

413432101 is an equidigital number, since it uses as much as digits as its factorization.

413432101 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 19.

The square root of 413432101 is about 20333.0298037454. The cubic root of 413432101 is about 744.9630484803.

Adding to 413432101 its reverse (101234314), we get a palindrome (514666415).

The spelling of 413432101 in words is "four hundred thirteen million, four hundred thirty-two thousand, one hundred one".