311300003113 has 16 divisors (see below), whose sum is σ = 360847123776. Its totient is φ = 265411722240.

The previous prime is 311300003057. The next prime is 311300003117.

311300003113 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 311300003113 - 2¹⁷ = 311299872041 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (311300003117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2888256 + ... + 2994097.

It is an arithmetic number, because the mean of its divisors is an integer number (22552945236).

Almost surely, 2^311300003113 is an apocalyptic number.

It is an amenable number.

311300003113 is a deficient number, since it is larger than the sum of its proper divisors (49547120663).

311300003113 is a wasteful number, since it uses less digits than its factorization.

311300003113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5882664.

The product of its (nonzero) digits is 81, while the sum is 16.

It can be divided in two parts, 31130000 and 3113, that multiplied together give a square (96907690000 = 311300²).

The spelling of 311300003113 in words is "three hundred eleven billion, three hundred million, three thousand, one hundred thirteen".