311311001102113 has 8 divisors (see below), whose sum is σ = 320238278519040. Its totient is φ = 302447263026720.

The previous prime is 311311001102069. The next prime is 311311001102119. The reversal of 311311001102113 is 311201100113113.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 311311001102113 - 2¹⁷ = 311311000971041 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (311311001102119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15884825445 + ... + 15884845042.

It is an arithmetic number, because the mean of its divisors is an integer number (40029784814880).

Almost surely, 2^{311311001102113} is an apocalyptic number.

It is an amenable number.

311311001102113 is a deficient number, since it is larger than the sum of its proper divisors (8927277416927).

311311001102113 is a wasteful number, since it uses less digits than its factorization.

311311001102113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31769670767.

The product of its (nonzero) digits is 54, while the sum is 19.

Adding to 311311001102113 its reverse (311201100113113), we get a palindrome (622512101215226).

The spelling of 311311001102113 in words is "three hundred eleven trillion, three hundred eleven billion, one million, one hundred two thousand, one hundred thirteen".