311322133121201 has 8 divisors (see below), whose sum is σ = 311843143548384. Its totient is φ = 310801460469120.

The previous prime is 311322133121191. The next prime is 311322133121239. The reversal of 311322133121201 is 102121331223113.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 311322133121201 - 2¹⁴ = 311322133104817 is a prime.

It is a super-2 number, since 2×311322133121201² (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (311322133123201) 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 7 ways as a sum of consecutive naturals, for example, 82598831 + ... + 86285636.

It is an arithmetic number, because the mean of its divisors is an integer number (38980392943548).

Almost surely, 2^{311322133121201} is an apocalyptic number.

It is an amenable number.

311322133121201 is a deficient number, since it is larger than the sum of its proper divisors (521010427183).

311322133121201 is a wasteful number, since it uses less digits than its factorization.

311322133121201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168887551.

The product of its (nonzero) digits is 1296, while the sum is 26.

Adding to 311322133121201 its reverse (102121331223113), we get a palindrome (413443464344314).

The spelling of 311322133121201 in words is "three hundred eleven trillion, three hundred twenty-two billion, one hundred thirty-three million, one hundred twenty-one thousand, two hundred one".