413331034433101 has 16 divisors (see below), whose sum is σ = 422135706348720. Its totient is φ = 404620147791360.

The previous prime is 413331034433099. The next prime is 413331034433123. The reversal of 413331034433101 is 101334430133314.

It can be written as a sum of positive squares in 8 ways, for example, as 30156242760900 + 383174791672201 = 5491470^2 + 19574851^2 .

It is a cyclic number.

It is not a de Polignac number, because 413331034433101 - 2¹ = 413331034433099 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413331034433201) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24003610 + ... + 37454443.

It is an arithmetic number, because the mean of its divisors is an integer number (26383481646795).

Almost surely, 2^{413331034433101} is an apocalyptic number.

It is an amenable number.

413331034433101 is a deficient number, since it is larger than the sum of its proper divisors (8804671915619).

413331034433101 is a wasteful number, since it uses less digits than its factorization.

413331034433101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61458816.

The product of its (nonzero) digits is 46656, while the sum is 34.

Adding to 413331034433101 its reverse (101334430133314), we get a palindrome (514665464566415).

The spelling of 413331034433101 in words is "four hundred thirteen trillion, three hundred thirty-one billion, thirty-four million, four hundred thirty-three thousand, one hundred one".