311103222301113 has 64 divisors (see below), whose sum is σ = 456935260852224. Its totient is φ = 188265795537600.

The previous prime is 311103222301103. The next prime is 311103222301121.

311103222301113 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 311103222301113 - 2¹³ = 311103222292921 is a prime.

It is a super-2 number, since 2×311103222301113² (a number of 30 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (311103222301103) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 28060175056 + ... + 28060186142.

It is an arithmetic number, because the mean of its divisors is an integer number (7139613450816).

Almost surely, 2^{311103222301113} is an apocalyptic number.

311103222301113 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

311103222301113 is a deficient number, since it is larger than the sum of its proper divisors (145832038551111).

311103222301113 is a wasteful number, since it uses less digits than its factorization.

311103222301113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20987 (or 20965 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

It can be divided in two parts, 31110 and 3222301113, that added together give a palindrome (3222332223).

The spelling of 311103222301113 in words is "three hundred eleven trillion, one hundred three billion, two hundred twenty-two million, three hundred one thousand, one hundred thirteen".