413012023 has 2 divisors, whose sum is σ = 413012024. Its totient is φ = 413012022.

The previous prime is 413012021. The next prime is 413012099. The reversal of 413012023 is 320210314.

It is a happy number.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 413012023 - 2¹ = 413012021 is a prime.

It is a super-2 number, since 2×413012023² = 341157862285105058, which contains 22 as substring.

Together with 413012021, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 413011988 and 413012006.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (413012021) 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, 206506011 + 206506012.

It is an arithmetic number, because the mean of its divisors is an integer number (206506012).

Almost surely, 2^413012023 is an apocalyptic number.

413012023 is a deficient number, since it is larger than the sum of its proper divisors (1).

413012023 is an equidigital number, since it uses as much as digits as its factorization.

413012023 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 413012023 is about 20322.6972373256. The cubic root of 413012023 is about 744.7106502125.

Adding to 413012023 its reverse (320210314), we get a palindrome (733222337).

The spelling of 413012023 in words is "four hundred thirteen million, twelve thousand, twenty-three".