131100313221300 has 144 divisors (see below), whose sum is σ = 380106084403584. Its totient is φ = 34887378240000.

The previous prime is 131100313221299. The next prime is 131100313221323. The reversal of 131100313221300 is 3122313001131.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 717436945 + ... + 717619655.

It is an arithmetic number, because the mean of its divisors is an integer number (2639625586136).

Almost surely, 2^{131100313221300} is an apocalyptic number.

131100313221300 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 131100313221300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190053042201792).

131100313221300 is an abundant number, since it is smaller than the sum of its proper divisors (249005771182284).

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

131100313221300 is a wasteful number, since it uses less digits than its factorization.

131100313221300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187690 (or 187683 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 131100313221300 its reverse (3122313001131), we get a palindrome (134222626222431).

The spelling of 131100313221300 in words is "one hundred thirty-one trillion, one hundred billion, three hundred thirteen million, two hundred twenty-one thousand, three hundred".