201131111231300 has 288 divisors, whose sum is σ = 498195213465600. Its totient is φ = 70150316544000.

The previous prime is 201131111231293. The next prime is 201131111231333. The reversal of 201131111231300 is 3132111131102.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 83589446 + ... + 85961954.

It is an arithmetic number, because the mean of its divisors is an integer number (1729844491200).

Almost surely, 2^{201131111231300} is an apocalyptic number.

201131111231300 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 201131111231300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249097606732800).

201131111231300 is an abundant number, since it is smaller than the sum of its proper divisors (297064102234300).

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

201131111231300 is a wasteful number, since it uses less digits than its factorization.

201131111231300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2372647 (or 2372640 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 20.

Adding to 201131111231300 its reverse (3132111131102), we get a palindrome (204263222362402).

The spelling of 201131111231300 in words is "two hundred one trillion, one hundred thirty-one billion, one hundred eleven million, two hundred thirty-one thousand, three hundred".