311221202122113 has 8 divisors (see below), whose sum is σ = 419070133550976. Its totient is φ = 205426536054000.

The previous prime is 311221202122079. The next prime is 311221202122139.

311221202122113 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 311221202122113 - 2⁹ = 311221202121601 is a prime.

It is a super-3 number, since 3×311221202122113³ (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (311221202120113) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 513566339833 + ... + 513566340438.

It is an arithmetic number, because the mean of its divisors is an integer number (52383766693872).

Almost surely, 2^{311221202122113} is an apocalyptic number.

It is an amenable number.

311221202122113 is a deficient number, since it is larger than the sum of its proper divisors (107848931428863).

311221202122113 is a wasteful number, since it uses less digits than its factorization.

311221202122113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1027132680375.

The product of its (nonzero) digits is 576, while the sum is 24.

It can be divided in two parts, 31122120 and 2122113, that added together give a palindrome (33244233).

The spelling of 311221202122113 in words is "three hundred eleven trillion, two hundred twenty-one billion, two hundred two million, one hundred twenty-two thousand, one hundred thirteen".