311220133312123 has 32 divisors (see below), whose sum is σ = 379475677872000. Its totient is φ = 249155972726784.

The previous prime is 311220133312117. The next prime is 311220133312169. The reversal of 311220133312123 is 321213331022113.

It is a cyclic number.

It is not a de Polignac number, because 311220133312123 - 2²⁹ = 311219596441211 is a prime.

It is a super-2 number, since 2×311220133312123² (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 311220133312091 and 311220133312100.

It is not an unprimeable number, because it can be changed into a prime (311220133312223) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11450763 + ... + 27451051.

It is an arithmetic number, because the mean of its divisors is an integer number (11858614933500).

Almost surely, 2^{311220133312123} is an apocalyptic number.

311220133312123 is a deficient number, since it is larger than the sum of its proper divisors (68255544559877).

311220133312123 is a wasteful number, since it uses less digits than its factorization.

311220133312123 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16001559.

The product of its (nonzero) digits is 3888, while the sum is 28.

Adding to 311220133312123 its reverse (321213331022113), we get a palindrome (632433464334236).

The spelling of 311220133312123 in words is "three hundred eleven trillion, two hundred twenty billion, one hundred thirty-three million, three hundred twelve thousand, one hundred twenty-three".