311103000301113 has 12 divisors (see below), whose sum is σ = 449371241095140. Its totient is φ = 207401889126816.

The previous prime is 311103000301111. The next prime is 311103000301129.

311103000301113 is a `hidden beast` number, since 311 + 1 + 0 + 300 + 0 + 30 + 11 + 13 = 666.

311103000301113 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 227414754396729 + 83688245904384 = 15080277^2 + 9148128^2 .

It is not a de Polignac number, because 311103000301113 - 2¹ = 311103000301111 is a prime.

It is not an unprimeable number, because it can be changed into a prime (311103000301111) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10760995 + ... + 27166247.

It is an arithmetic number, because the mean of its divisors is an integer number (37447603424595).

Almost surely, 2^{311103000301113} is an apocalyptic number.

It is an amenable number.

311103000301113 is a deficient number, since it is larger than the sum of its proper divisors (138268240794027).

311103000301113 is a wasteful number, since it uses less digits than its factorization.

311103000301113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18512328 (or 18512325 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 18.

It can be divided in two parts, 311103000 and 301113, that added together give a palindrome (311404113).

The spelling of 311103000301113 in words is "three hundred eleven trillion, one hundred three billion, three hundred one thousand, one hundred thirteen".