131111415200 has 144 divisors (see below), whose sum is σ = 338693322240. Its totient is φ = 49423104000.

The previous prime is 131111415191. The next prime is 131111415217. The reversal of 131111415200 is 2514111131.

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

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 2880620 + ... + 2925780.

It is an arithmetic number, because the mean of its divisors is an integer number (2352036960).

Almost surely, 2^131111415200 is an apocalyptic number.

131111415200 is a gapful number since it is divisible by the number (10) 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 131111415200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169346661120).

131111415200 is an abundant number, since it is smaller than the sum of its proper divisors (207581907040).

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

131111415200 is a wasteful number, since it uses less digits than its factorization.

131111415200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45391 (or 45378 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 20.

Adding to 131111415200 its reverse (2514111131), we get a palindrome (133625526331).

The spelling of 131111415200 in words is "one hundred thirty-one billion, one hundred eleven million, four hundred fifteen thousand, two hundred".