1311313303131 has 32 divisors (see below), whose sum is σ = 1902476304960. Its totient is φ = 798584832000.

The previous prime is 1311313303093. The next prime is 1311313303133. The reversal of 1311313303131 is 1313033131131.

It is not a de Polignac number, because 1311313303131 - 2²⁹ = 1310776432219 is a prime.

It is a super-2 number, since 2×1311313303131² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1311313303133) 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 31 ways as a sum of consecutive naturals, for example, 8148891 + ... + 8308251.

It is an arithmetic number, because the mean of its divisors is an integer number (59452384530).

Almost surely, 2^{1311313303131} is an apocalyptic number.

1311313303131 is a deficient number, since it is larger than the sum of its proper divisors (591163001829).

1311313303131 is a wasteful number, since it uses less digits than its factorization.

1311313303131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161567.

The product of its (nonzero) digits is 729, while the sum is 24.

Adding to 1311313303131 its reverse (1313033131131), we get a palindrome (2624346434262).

The spelling of 1311313303131 in words is "one trillion, three hundred eleven billion, three hundred thirteen million, three hundred three thousand, one hundred thirty-one".