311121002001 has 32 divisors (see below), whose sum is σ = 456099840000. Its totient is φ = 187767030528.

The previous prime is 311121001979. The next prime is 311121002051. The reversal of 311121002001 is 100200121113.

It is not a de Polignac number, because 311121002001 - 2⁵ = 311121001969 is a prime.

It is a super-2 number, since 2×311121002001² (a number of 24 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (311121002051) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1205200 + ... + 1440398.

It is an arithmetic number, because the mean of its divisors is an integer number (14253120000).

Almost surely, 2^311121002001 is an apocalyptic number.

It is an amenable number.

311121002001 is a deficient number, since it is larger than the sum of its proper divisors (144978837999).

311121002001 is a wasteful number, since it uses less digits than its factorization.

311121002001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236253.

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 311121002001 its reverse (100200121113), we get a palindrome (411321123114).

The spelling of 311121002001 in words is "three hundred eleven billion, one hundred twenty-one million, two thousand, one".