201114131020 has 96 divisors (see below), whose sum is σ = 465617678400. Its totient is φ = 72358272000.

The previous prime is 201114130999. The next prime is 201114131021. The reversal of 201114131020 is 20131411102.

201114131020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 201114130985 and 201114131003.

It is not an unprimeable number, because it can be changed into a prime (201114131021) 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, 50415186 + ... + 50419174.

It is an arithmetic number, because the mean of its divisors is an integer number (4850184150).

Almost surely, 2^201114131020 is an apocalyptic number.

201114131020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201114131020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232808839200).

201114131020 is an abundant number, since it is smaller than the sum of its proper divisors (264503547380).

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

201114131020 is a wasteful number, since it uses less digits than its factorization.

201114131020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6379 (or 6377 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 201114131020 its reverse (20131411102), we get a palindrome (221245542122).

The spelling of 201114131020 in words is "two hundred one billion, one hundred fourteen million, one hundred thirty-one thousand, twenty".