1321313311121 has 8 divisors (see below), whose sum is σ = 1333493220840. Its totient is φ = 1309134451968.

The previous prime is 1321313311117. The next prime is 1321313311151. The reversal of 1321313311121 is 1211133131231.

It can be written as a sum of positive squares in 4 ways, for example, as 51240660496 + 1270072650625 = 226364^2 + 1126975^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1321313311121 - 2² = 1321313311117 is a prime.

It is a super-2 number, since 2×1321313311121² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1321313311151) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2386985 + ... + 2887961.

It is an arithmetic number, because the mean of its divisors is an integer number (166686652605).

Almost surely, 2^{1321313311121} is an apocalyptic number.

It is an amenable number.

1321313311121 is a deficient number, since it is larger than the sum of its proper divisors (12179909719).

1321313311121 is a wasteful number, since it uses less digits than its factorization.

1321313311121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 525283.

The product of its digits is 324, while the sum is 23.

Adding to 1321313311121 its reverse (1211133131231), we get a palindrome (2532446442352).

The spelling of 1321313311121 in words is "one trillion, three hundred twenty-one billion, three hundred thirteen million, three hundred eleven thousand, one hundred twenty-one".