311321211101 has 2 divisors, whose sum is σ = 311321211102. Its totient is φ = 311321211100.

The previous prime is 311321211083. The next prime is 311321211127. The reversal of 311321211101 is 101112123113.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 195227004025 + 116094207076 = 441845^2 + 340726^2 .

It is a cyclic number.

It is not a de Polignac number, because 311321211101 - 2³⁴ = 294141341917 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 311321211101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (311321211151) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 155660605550 + 155660605551.

It is an arithmetic number, because the mean of its divisors is an integer number (155660605551).

Almost surely, 2^311321211101 is an apocalyptic number.

It is an amenable number.

311321211101 is a deficient number, since it is larger than the sum of its proper divisors (1).

311321211101 is an equidigital number, since it uses as much as digits as its factorization.

311321211101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 36, while the sum is 17.

Adding to 311321211101 its reverse (101112123113), we get a palindrome (412433334214).

The spelling of 311321211101 in words is "three hundred eleven billion, three hundred twenty-one million, two hundred eleven thousand, one hundred one".