1313311121 has 2 divisors, whose sum is σ = 1313311122. Its totient is φ = 1313311120.

The previous prime is 1313311067. The next prime is 1313311127. The reversal of 1313311121 is 1211133131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1311526225 + 1784896 = 36215^2 + 1336^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1313311121 is a prime.

It is a super-2 number, since 2×1313311121² = 3449572201084553282, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1313311121.

It is not a weakly prime, because it can be changed into another prime (1313311127) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 656655560 + 656655561.

It is an arithmetic number, because the mean of its divisors is an integer number (656655561).

Almost surely, 2^1313311121 is an apocalyptic number.

It is an amenable number.

1313311121 is a deficient number, since it is larger than the sum of its proper divisors (1).

1313311121 is an equidigital number, since it uses as much as digits as its factorization.

1313311121 is an evil number, because the sum of its binary digits is even.

The product of its digits is 54, while the sum is 17.

The square root of 1313311121 is about 36239.6346697921. The cubic root of 1313311121 is about 1095.1052826495.

Adding to 1313311121 its reverse (1211133131), we get a palindrome (2524444252).

The spelling of 1313311121 in words is "one billion, three hundred thirteen million, three hundred eleven thousand, one hundred twenty-one".