413201131314221 has 8 divisors (see below), whose sum is σ = 415996425912600. Its totient is φ = 410406131818048.

The previous prime is 413201131314173. The next prime is 413201131314287. The reversal of 413201131314221 is 122413131102314.

It can be written as a sum of positive squares in 4 ways, for example, as 43041616693321 + 370159514620900 = 6560611^2 + 19239530^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 413201131314221 - 2¹⁰ = 413201131313197 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 (413201131314721) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 70965326 + ... + 76566831.

It is an arithmetic number, because the mean of its divisors is an integer number (51999553239075).

Almost surely, 2^{413201131314221} is an apocalyptic number.

It is an amenable number.

413201131314221 is a deficient number, since it is larger than the sum of its proper divisors (2795294598379).

413201131314221 is a wasteful number, since it uses less digits than its factorization.

413201131314221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147551103.

The product of its (nonzero) digits is 3456, while the sum is 29.

Adding to 413201131314221 its reverse (122413131102314), we get a palindrome (535614262416535).

The spelling of 413201131314221 in words is "four hundred thirteen trillion, two hundred one billion, one hundred thirty-one million, three hundred fourteen thousand, two hundred twenty-one".