413113013101 has 2 divisors, whose sum is σ = 413113013102. Its totient is φ = 413113013100.

The previous prime is 413113013063. The next prime is 413113013111. The reversal of 413113013101 is 101310311314.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 392159003076 + 20954010025 = 626226^2 + 144755^2 .

It is a cyclic number.

It is not a de Polignac number, because 413113013101 - 2²⁷ = 412978795373 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (413113013111) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 206556506550 + 206556506551.

It is an arithmetic number, because the mean of its divisors is an integer number (206556506551).

Almost surely, 2^413113013101 is an apocalyptic number.

It is an amenable number.

413113013101 is a deficient number, since it is larger than the sum of its proper divisors (1).

413113013101 is an equidigital number, since it uses as much as digits as its factorization.

413113013101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 108, while the sum is 19.

Adding to 413113013101 its reverse (101310311314), we get a palindrome (514423324415).

The spelling of 413113013101 in words is "four hundred thirteen billion, one hundred thirteen million, thirteen thousand, one hundred one".