413013344023 has 32 divisors (see below), whose sum is σ = 480752384000. Its totient is φ = 347498553600.

The previous prime is 413013344017. The next prime is 413013344041. The reversal of 413013344023 is 320443310314.

It is a cyclic number.

It is not a de Polignac number, because 413013344023 - 2⁵ = 413013343991 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 413013343982 and 413013344000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413013344053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 206608978 + ... + 206610976.

It is an arithmetic number, because the mean of its divisors is an integer number (15023512000).

Almost surely, 2^413013344023 is an apocalyptic number.

413013344023 is a deficient number, since it is larger than the sum of its proper divisors (67739039977).

413013344023 is a wasteful number, since it uses less digits than its factorization.

413013344023 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3407.

The product of its (nonzero) digits is 10368, while the sum is 28.

Adding to 413013344023 its reverse (320443310314), we get a palindrome (733456654337).

The spelling of 413013344023 in words is "four hundred thirteen billion, thirteen million, three hundred forty-four thousand, twenty-three".