1313331101 has 4 divisors (see below), whose sum is σ = 1331322012. Its totient is φ = 1295340192.

The previous prime is 1313331079. The next prime is 1313331109. The reversal of 1313331101 is 1011333131.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 1011333131 = 127 ⋅7963253.

It can be written as a sum of positive squares in 2 ways, for example, as 630763225 + 682567876 = 25115^2 + 26126^2 .

It is a cyclic number.

It is not a de Polignac number, because 1313331101 - 2¹⁰ = 1313330077 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1313331101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1313331109) 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, 8995346 + ... + 8995491.

It is an arithmetic number, because the mean of its divisors is an integer number (332830503).

Almost surely, 2^1313331101 is an apocalyptic number.

It is an amenable number.

1313331101 is a deficient number, since it is larger than the sum of its proper divisors (17990911).

1313331101 is an equidigital number, since it uses as much as digits as its factorization.

1313331101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17990910.

The product of its (nonzero) digits is 81, while the sum is 17.

The square root of 1313331101 is about 36239.9103337743. The cubic root of 1313331101 is about 1095.1108360664.

Adding to 1313331101 its reverse (1011333131), we get a palindrome (2324664232).

The spelling of 1313331101 in words is "one billion, three hundred thirteen million, three hundred thirty-one thousand, one hundred one".