1321131122311 has 144 divisors (see below), whose sum is σ = 1871034005088. Its totient is φ = 921599078400.

The previous prime is 1321131122281. The next prime is 1321131122323. The reversal of 1321131122311 is 1132211311231.

It is not a de Polignac number, because 1321131122311 - 2⁵ = 1321131122279 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1321131122351) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 405626595 + ... + 405629851.

It is an arithmetic number, because the mean of its divisors is an integer number (12993291702).

Almost surely, 2^{1321131122311} is an apocalyptic number.

1321131122311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1321131122311 is a deficient number, since it is larger than the sum of its proper divisors (549902882777).

1321131122311 is a wasteful number, since it uses less digits than its factorization.

1321131122311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3442 (or 3422 counting only the distinct ones).

The product of its digits is 216, while the sum is 22.

Adding to 1321131122311 its reverse (1132211311231), we get a palindrome (2453342433542).

The spelling of 1321131122311 in words is "one trillion, three hundred twenty-one billion, one hundred thirty-one million, one hundred twenty-two thousand, three hundred eleven".