311211101112113 has 16 divisors (see below), whose sum is σ = 316777130557440. Its totient is φ = 305693944920000.

The previous prime is 311211101112049. The next prime is 311211101112143.

311211101112113 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 311211101112113 - 2⁶ = 311211101112049 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (311211101112143) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 424861943 + ... + 425593811.

It is an arithmetic number, because the mean of its divisors is an integer number (19798570659840).

Almost surely, 2^{311211101112113} is an apocalyptic number.

It is an amenable number.

311211101112113 is a deficient number, since it is larger than the sum of its proper divisors (5566029445327).

311211101112113 is a wasteful number, since it uses less digits than its factorization.

311211101112113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 765248.

The product of its (nonzero) digits is 36, while the sum is 20.

It can be divided in two parts, 31121110 and 1112113, that added together give a palindrome (32233223).

The spelling of 311211101112113 in words is "three hundred eleven trillion, two hundred eleven billion, one hundred one million, one hundred twelve thousand, one hundred thirteen".