311121011212133 has 2 divisors, whose sum is σ = 311121011212134. Its totient is φ = 311121011212132.

The previous prime is 311121011212097. The next prime is 311121011212183. The reversal of 311121011212133 is 331212110121113.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 304336642891009 + 6784368321124 = 17445247^2 + 2604682^2 .

It is a cyclic number.

It is not a de Polignac number, because 311121011212133 - 2⁶ = 311121011212069 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 311121011212099 and 311121011212108.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (311121011212183) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 155560505606066 + 155560505606067.

It is an arithmetic number, because the mean of its divisors is an integer number (155560505606067).

Almost surely, 2^{311121011212133} is an apocalyptic number.

It is an amenable number.

311121011212133 is a deficient number, since it is larger than the sum of its proper divisors (1).

311121011212133 is an equidigital number, since it uses as much as digits as its factorization.

311121011212133 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 216, while the sum is 23.

Adding to 311121011212133 its reverse (331212110121113), we get a palindrome (642333121333246).

The spelling of 311121011212133 in words is "three hundred eleven trillion, one hundred twenty-one billion, eleven million, two hundred twelve thousand, one hundred thirty-three".