331122133222101 has 96 divisors (see below), whose sum is σ = 531847456358400. Its totient is φ = 197241506428032.

The previous prime is 331122133222037. The next prime is 331122133222121. The reversal of 331122133222101 is 101222331221133.

331122133222101 is a `hidden beast` number, since 3 + 3 + 1 + 1 + 221 + 332 + 2 + 2 + 101 = 666.

It is not a de Polignac number, because 331122133222101 - 2⁶ = 331122133222037 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331122133222121) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 181842316 + ... + 183654218.

It is an arithmetic number, because the mean of its divisors is an integer number (5540077670400).

Almost surely, 2^{331122133222101} is an apocalyptic number.

It is an amenable number.

331122133222101 is a deficient number, since it is larger than the sum of its proper divisors (200725323136299).

331122133222101 is a wasteful number, since it uses less digits than its factorization.

331122133222101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1812335 (or 1812332 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 331122133222101 its reverse (101222331221133), we get a palindrome (432344464443234).

The spelling of 331122133222101 in words is "three hundred thirty-one trillion, one hundred twenty-two billion, one hundred thirty-three million, two hundred twenty-two thousand, one hundred one".