311331002203121 has 8 divisors (see below), whose sum is σ = 314893563252840. Its totient is φ = 307782606406912.

The previous prime is 311331002203093. The next prime is 311331002203141. The reversal of 311331002203121 is 121302200133113.

It can be written as a sum of positive squares in 4 ways, for example, as 36048484313521 + 275282517889600 = 6004039^2 + 16591640^2 .

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 311331002203121 - 2³⁰ = 311329928461297 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (311331002203141) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3541269170 + ... + 3541357083.

It is an arithmetic number, because the mean of its divisors is an integer number (39361695406605).

Almost surely, 2^{311331002203121} is an apocalyptic number.

It is an amenable number.

311331002203121 is a deficient number, since it is larger than the sum of its proper divisors (3562561049719).

311331002203121 is a wasteful number, since it uses less digits than its factorization.

311331002203121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7082626755.

The product of its (nonzero) digits is 648, while the sum is 23.

Adding to 311331002203121 its reverse (121302200133113), we get a palindrome (432633202336234).

The spelling of 311331002203121 in words is "three hundred eleven trillion, three hundred thirty-one billion, two million, two hundred three thousand, one hundred twenty-one".