122233131332311 has 16 divisors (see below), whose sum is σ = 123988599288000. Its totient is φ = 120479863650048.

The previous prime is 122233131332293. The next prime is 122233131332317. The reversal of 122233131332311 is 113233131332221.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-122233131332311 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122233131332317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2638462630 + ... + 2638508956.

It is an arithmetic number, because the mean of its divisors is an integer number (7749287455500).

Almost surely, 2^{122233131332311} is an apocalyptic number.

122233131332311 is a deficient number, since it is larger than the sum of its proper divisors (1755467955689).

122233131332311 is a wasteful number, since it uses less digits than its factorization.

122233131332311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69258.

The product of its digits is 11664, while the sum is 31.

Adding to 122233131332311 its reverse (113233131332221), we get a palindrome (235466262664532).

The spelling of 122233131332311 in words is "one hundred twenty-two trillion, two hundred thirty-three billion, one hundred thirty-one million, three hundred thirty-two thousand, three hundred eleven".