1321332311131 has 16 divisors (see below), whose sum is σ = 1590409186560. Its totient is φ = 1072396951200.

The previous prime is 1321332311113. The next prime is 1321332311141. The reversal of 1321332311131 is 1311132331231.

It is not a de Polignac number, because 1321332311131 - 2⁵ = 1321332311099 is a prime.

It is a super-2 number, since 2×1321332311131² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1321332311096 and 1321332311105.

It is not an unprimeable number, because it can be changed into a prime (1321332311141) 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 15 ways as a sum of consecutive naturals, for example, 2360221 + ... + 2865886.

It is an arithmetic number, because the mean of its divisors is an integer number (99400574160).

Almost surely, 2^{1321332311131} is an apocalyptic number.

1321332311131 is a deficient number, since it is larger than the sum of its proper divisors (269076875429).

1321332311131 is a wasteful number, since it uses less digits than its factorization.

1321332311131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5228034.

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

Adding to 1321332311131 its reverse (1311132331231), we get a palindrome (2632464642362).

The spelling of 1321332311131 in words is "one trillion, three hundred twenty-one billion, three hundred thirty-two million, three hundred eleven thousand, one hundred thirty-one".