131321220030 has 640 divisors, whose sum is σ = 477724262400. Its totient is φ = 24996418560.

The previous prime is 131321220011. The next prime is 131321220113. The reversal of 131321220030 is 30022123131.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 131321219985 and 131321220012.

It is a congruent number.

It is an unprimeable number.

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 319 ways as a sum of consecutive naturals, for example, 120810147 + ... + 120811233.

It is an arithmetic number, because the mean of its divisors is an integer number (746444160).

Almost surely, 2^131321220030 is an apocalyptic number.

131321220030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 131321220030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238862131200).

131321220030 is an abundant number, since it is smaller than the sum of its proper divisors (346403042370).

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

131321220030 is a wasteful number, since it uses less digits than its factorization.

131321220030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1286 (or 1277 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 131321220030 its reverse (30022123131), we get a palindrome (161343343161).

The spelling of 131321220030 in words is "one hundred thirty-one billion, three hundred twenty-one million, two hundred twenty thousand, thirty".