1313323101 has 12 divisors (see below), whose sum is σ = 1909755900. Its totient is φ = 869671680.

The previous prime is 1313323057. The next prime is 1313323127. The reversal of 1313323101 is 1013233131.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 53144100 + 1260179001 = 7290^2 + 35499^2 .

It is not a de Polignac number, because 1313323101 - 2¹⁵ = 1313290333 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1313323001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 488340 + ... + 491021.

It is an arithmetic number, because the mean of its divisors is an integer number (159146325).

Almost surely, 2^1313323101 is an apocalyptic number.

It is an amenable number.

1313323101 is a deficient number, since it is larger than the sum of its proper divisors (596432799).

1313323101 is a wasteful number, since it uses less digits than its factorization.

1313323101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 979516 (or 979513 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

The square root of 1313323101 is about 36239.7999580572. The cubic root of 1313323101 is about 1095.1086124828.

Adding to 1313323101 its reverse (1013233131), we get a palindrome (2326556232).

The spelling of 1313323101 in words is "one billion, three hundred thirteen million, three hundred twenty-three thousand, one hundred one".