311220002101311 has 16 divisors (see below), whose sum is σ = 461256957400320. Its totient is φ = 207394371971640.

The previous prime is 311220002101297. The next prime is 311220002101373. The reversal of 311220002101311 is 113101200022113.

311220002101311 is a `hidden beast` number, since 31 + 1 + 220 + 0 + 0 + 2 + 101 + 311 = 666.

It is not a de Polignac number, because 311220002101311 - 2³⁰ = 311218928359487 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (311220002100311) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2378528625 + ... + 2378659466.

It is an arithmetic number, because the mean of its divisors is an integer number (28828559837520).

Almost surely, 2^{311220002101311} is an apocalyptic number.

311220002101311 is a deficient number, since it is larger than the sum of its proper divisors (150036955299009).

311220002101311 is a wasteful number, since it uses less digits than its factorization.

311220002101311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4757190523 (or 4757190517 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 311220002101311 its reverse (113101200022113), we get a palindrome (424321202123424).

The spelling of 311220002101311 in words is "three hundred eleven trillion, two hundred twenty billion, two million, one hundred one thousand, three hundred eleven".