101311231300314 has 144 divisors (see below), whose sum is σ = 243695967746400. Its totient is φ = 27995797529280.

The previous prime is 101311231300289. The next prime is 101311231300319. The reversal of 101311231300314 is 413003132113101.

It is not an unprimeable number, because it can be changed into a prime (101311231300319) 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 71 ways as a sum of consecutive naturals, for example, 482745697 + ... + 482955515.

It is an arithmetic number, because the mean of its divisors is an integer number (1692333109350).

Almost surely, 2^{101311231300314} is an apocalyptic number.

101311231300314 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 101311231300314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121847983873200).

101311231300314 is an abundant number, since it is smaller than the sum of its proper divisors (142384736446086).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101311231300314 is a wasteful number, since it uses less digits than its factorization.

101311231300314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211609 (or 211571 counting only the distinct ones).

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

Adding to 101311231300314 its reverse (413003132113101), we get a palindrome (514314363413415).

The spelling of 101311231300314 in words is "one hundred one trillion, three hundred eleven billion, two hundred thirty-one million, three hundred thousand, three hundred fourteen".