311321133311101 has 8 divisors (see below), whose sum is σ = 311758927048184. Its totient is φ = 310883564609280.

The previous prime is 311321133311077. The next prime is 311321133311213. The reversal of 311321133311101 is 101113331123113.

It can be written as a sum of positive squares in 4 ways, for example, as 62443658536900 + 248877474774201 = 7902130^2 + 15775851^2 .

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-311321133311101 is a prime.

It is a super-2 number, since 2×311321133311101² (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (311321133311401) 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, 53489910 + ... + 59023831.

It is an arithmetic number, because the mean of its divisors is an integer number (38969865881023).

Almost surely, 2^{311321133311101} is an apocalyptic number.

It is an amenable number.

311321133311101 is a deficient number, since it is larger than the sum of its proper divisors (437793737083).

311321133311101 is a wasteful number, since it uses less digits than its factorization.

311321133311101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112517631.

The product of its (nonzero) digits is 486, while the sum is 25.

Adding to 311321133311101 its reverse (101113331123113), we get a palindrome (412434464434214).

The spelling of 311321133311101 in words is "three hundred eleven trillion, three hundred twenty-one billion, one hundred thirty-three million, three hundred eleven thousand, one hundred one".