32122133321311 has 16 divisors (see below), whose sum is σ = 35111705333760. Its totient is φ = 29144157484320.

The previous prime is 32122133321303. The next prime is 32122133321339. The reversal of 32122133321311 is 11312333122123.

It is a cyclic number.

It is not a de Polignac number, because 32122133321311 - 2³ = 32122133321303 is a prime.

It is a super-2 number, since 2×32122133321311² (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 32122133321311.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32122133381311) 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 15 ways as a sum of consecutive naturals, for example, 18585766 + ... + 20240428.

It is an arithmetic number, because the mean of its divisors is an integer number (2194481583360).

Almost surely, 2^{32122133321311} is an apocalyptic number.

32122133321311 is a deficient number, since it is larger than the sum of its proper divisors (2989572012449).

32122133321311 is a wasteful number, since it uses less digits than its factorization.

32122133321311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1658166.

The product of its digits is 3888, while the sum is 28.

Adding to 32122133321311 its reverse (11312333122123), we get a palindrome (43434466443434).

The spelling of 32122133321311 in words is "thirty-two trillion, one hundred twenty-two billion, one hundred thirty-three million, three hundred twenty-one thousand, three hundred eleven".