4413314131321 has 8 divisors (see below), whose sum is σ = 4523128518888. Its totient is φ = 4303603200000.

The previous prime is 4413314131309. The next prime is 4413314131393. The reversal of 4413314131321 is 1231314133144.

It can be written as a sum of positive squares in 4 ways, for example, as 79755972921 + 4333558158400 = 282411^2 + 2081720^2 .

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-4413314131321 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4413314131021) 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, 25777680 + ... + 25948321.

It is an arithmetic number, because the mean of its divisors is an integer number (565391064861).

Almost surely, 2^{4413314131321} is an apocalyptic number.

4413314131321 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

4413314131321 is a deficient number, since it is larger than the sum of its proper divisors (109814387567).

4413314131321 is a wasteful number, since it uses less digits than its factorization.

4413314131321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51728123.

The product of its digits is 10368, while the sum is 31.

Adding to 4413314131321 its reverse (1231314133144), we get a palindrome (5644628264465).

The spelling of 4413314131321 in words is "four trillion, four hundred thirteen billion, three hundred fourteen million, one hundred thirty-one thousand, three hundred twenty-one".