1331322311121 has 64 divisors (see below), whose sum is σ = 2011771883520. Its totient is φ = 776108480000.

The previous prime is 1331322311069. The next prime is 1331322311131. The reversal of 1331322311121 is 1211132231331.

It is a cyclic number.

It is not a de Polignac number, because 1331322311121 - 2⁷ = 1331322310993 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1331322311091 and 1331322311100.

It is not an unprimeable number, because it can be changed into a prime (1331322311131) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 32639686 + ... + 32680448.

It is an arithmetic number, because the mean of its divisors is an integer number (31433935680).

Almost surely, 2^{1331322311121} is an apocalyptic number.

1331322311121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1331322311121 is a deficient number, since it is larger than the sum of its proper divisors (680449572399).

1331322311121 is a wasteful number, since it uses less digits than its factorization.

1331322311121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41158.

The product of its digits is 648, while the sum is 24.

Adding to 1331322311121 its reverse (1211132231331), we get a palindrome (2542454542452).

The spelling of 1331322311121 in words is "one trillion, three hundred thirty-one billion, three hundred twenty-two million, three hundred eleven thousand, one hundred twenty-one".