1313311323121 has 32 divisors (see below), whose sum is σ = 1603437004800. Its totient is φ = 1051379965440.

The previous prime is 1313311323119. The next prime is 1313311323139. The reversal of 1313311323121 is 1213231133131.

It is not a de Polignac number, because 1313311323121 - 2¹ = 1313311323119 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1313311323161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15520395 + ... + 15604783.

It is an arithmetic number, because the mean of its divisors is an integer number (50107406400).

Almost surely, 2^{1313311323121} is an apocalyptic number.

It is an amenable number.

1313311323121 is a deficient number, since it is larger than the sum of its proper divisors (290125681679).

1313311323121 is a wasteful number, since it uses less digits than its factorization.

1313311323121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86929.

The product of its digits is 972, while the sum is 25.

Adding to 1313311323121 its reverse (1213231133131), we get a palindrome (2526542456252).

The spelling of 1313311323121 in words is "one trillion, three hundred thirteen billion, three hundred eleven million, three hundred twenty-three thousand, one hundred twenty-one".