311201141102113 has 16 divisors (see below), whose sum is σ = 332621535697920. Its totient is φ = 290317883401296.

The previous prime is 311201141102087. The next prime is 311201141102119.

311201141102113 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 311201141102113 - 2⁴¹ = 309002117846561 is a prime.

It is not an unprimeable number, because it can be changed into a prime (311201141102119) 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, 457968381 + ... + 458647402.

It is an arithmetic number, because the mean of its divisors is an integer number (20788845981120).

Almost surely, 2^{311201141102113} is an apocalyptic number.

It is an amenable number.

311201141102113 is a deficient number, since it is larger than the sum of its proper divisors (21420394595807).

311201141102113 is a wasteful number, since it uses less digits than its factorization.

311201141102113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 916616076.

The product of its (nonzero) digits is 144, while the sum is 22.

The spelling of 311201141102113 in words is "three hundred eleven trillion, two hundred one billion, one hundred forty-one million, one hundred two thousand, one hundred thirteen".