1322132122311 has 128 divisors (see below), whose sum is σ = 2573859649536. Its totient is φ = 580568186880.

The previous prime is 1322132122309. The next prime is 1322132122319. The reversal of 1322132122311 is 1132212312231.

It is not a de Polignac number, because 1322132122311 - 2¹ = 1322132122309 is a prime.

It is a super-3 number, since 3×1322132122311³ (a number of 37 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1322132122319) 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 127 ways as a sum of consecutive naturals, for example, 1538911 + ... + 2238863.

It is an arithmetic number, because the mean of its divisors is an integer number (20108278512).

Almost surely, 2^{1322132122311} is an apocalyptic number.

1322132122311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1322132122311 is a deficient number, since it is larger than the sum of its proper divisors (1251727527225).

1322132122311 is a wasteful number, since it uses less digits than its factorization.

1322132122311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 700041.

The product of its digits is 864, while the sum is 24.

Adding to 1322132122311 its reverse (1132212312231), we get a palindrome (2454344434542).

The spelling of 1322132122311 in words is "one trillion, three hundred twenty-two billion, one hundred thirty-two million, one hundred twenty-two thousand, three hundred eleven".