311104401113 has 36 divisors (see below), whose sum is σ = 363507776940. Its totient is φ = 266001246720.

The previous prime is 311104401073. The next prime is 311104401121.

311104401113 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 6 ways, for example, as 167192667664 + 143911733449 = 408892^2 + 379357^2 .

It is a de Polignac number, because none of the positive numbers 2^k-311104401113 is a prime.

It is not an unprimeable number, because it can be changed into a prime (311104401163) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 80741495 + ... + 80745347.

Almost surely, 2^311104401113 is an apocalyptic number.

It is an amenable number.

311104401113 is a deficient number, since it is larger than the sum of its proper divisors (52403375827).

311104401113 is a wasteful number, since it uses less digits than its factorization.

311104401113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6218 (or 6190 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

It can be divided in two parts, 311104 and 401113, that added together give a palindrome (712217).

The spelling of 311104401113 in words is "three hundred eleven billion, one hundred four million, four hundred one thousand, one hundred thirteen".