413213101 has 32 divisors (see below), whose sum is σ = 534048768. Its totient is φ = 311351040.

The previous prime is 413213063. The next prime is 413213149. The reversal of 413213101 is 101312314.

It is not a de Polignac number, because 413213101 - 2¹⁵ = 413180333 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 (413213401) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 115936 + ... + 119446.

It is an arithmetic number, because the mean of its divisors is an integer number (16689024).

Almost surely, 2^413213101 is an apocalyptic number.

It is an amenable number.

413213101 is a deficient number, since it is larger than the sum of its proper divisors (120835667).

413213101 is a wasteful number, since it uses less digits than its factorization.

413213101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3601.

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 413213101 is about 20327.6437640962. The cubic root of 413213101 is about 744.8314865925.

Adding to 413213101 its reverse (101312314), we get a palindrome (514525415).

It can be divided in two parts, 413213 and 101, that added together give a palindrome (413314).

The spelling of 413213101 in words is "four hundred thirteen million, two hundred thirteen thousand, one hundred one".