311201123032113 has 32 divisors (see below), whose sum is σ = 422427481931520. Its totient is φ = 203744027934720.

The previous prime is 311201123032103. The next prime is 311201123032117. The reversal of 311201123032113 is 311230321102113.

It is not a de Polignac number, because 311201123032113 - 2⁵ = 311201123032081 is a prime.

It is a super-2 number, since 2×311201123032113² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (311201123032117) 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 31 ways as a sum of consecutive naturals, for example, 3879837753 + ... + 3879917961.

It is an arithmetic number, because the mean of its divisors is an integer number (13200858810360).

Almost surely, 2^{311201123032113} is an apocalyptic number.

It is an amenable number.

311201123032113 is a deficient number, since it is larger than the sum of its proper divisors (111226358899407).

311201123032113 is a wasteful number, since it uses less digits than its factorization.

311201123032113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151417.

The product of its (nonzero) digits is 648, while the sum is 24.

Adding to 311201123032113 its reverse (311230321102113), we get a palindrome (622431444134226).

The spelling of 311201123032113 in words is "three hundred eleven trillion, two hundred one billion, one hundred twenty-three million, thirty-two thousand, one hundred thirteen".