311121332001 has 6 divisors (see below), whose sum is σ = 449397479570. Its totient is φ = 207414221328.

The previous prime is 311121331999. The next prime is 311121332029. The reversal of 311121332001 is 100233121113.

311121332001 is a `hidden beast` number, since 311 + 1 + 21 + 332 + 0 + 0 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 269423283600 + 41698048401 = 519060^2 + 204201^2 .

It is not a de Polignac number, because 311121332001 - 2¹ = 311121331999 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (311121332101) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 17284518436 + ... + 17284518453.

Almost surely, 2^311121332001 is an apocalyptic number.

It is an amenable number.

311121332001 is a deficient number, since it is larger than the sum of its proper divisors (138276147569).

311121332001 is a wasteful number, since it uses less digits than its factorization.

311121332001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34569036895 (or 34569036892 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 311121332001 its reverse (100233121113), we get a palindrome (411354453114).

The spelling of 311121332001 in words is "three hundred eleven billion, one hundred twenty-one million, three hundred thirty-two thousand, one".