1001331413 has 4 divisors (see below), whose sum is σ = 1002474060. Its totient is φ = 1000188768.

The previous prime is 1001331377. The next prime is 1001331431. The reversal of 1001331413 is 3141331001.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 3141331001 = 431 ⋅7288471.

It can be written as a sum of positive squares in 2 ways, for example, as 747311569 + 254019844 = 27337^2 + 15938^2 .

It is a cyclic number.

It is not a de Polignac number, because 1001331413 - 2¹⁸ = 1001069269 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1001331391 and 1001331400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001331313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 570008 + ... + 571761.

It is an arithmetic number, because the mean of its divisors is an integer number (250618515).

Almost surely, 2^1001331413 is an apocalyptic number.

It is an amenable number.

1001331413 is a deficient number, since it is larger than the sum of its proper divisors (1142647).

1001331413 is an equidigital number, since it uses as much as digits as its factorization.

1001331413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1142646.

The product of its (nonzero) digits is 108, while the sum is 17.

The square root of 1001331413 is about 31643.8210872202. The cubic root of 1001331413 is about 1000.4436075166.

Adding to 1001331413 its reverse (3141331001), we get a palindrome (4142662414).

The spelling of 1001331413 in words is "one billion, one million, three hundred thirty-one thousand, four hundred thirteen".