131130330322200 has 288 divisors, whose sum is σ = 451242443166480. Its totient is φ = 31474424960000.

The previous prime is 131130330322183. The next prime is 131130330322283. The reversal of 131130330322200 is 2223033031131.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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 71 ways as a sum of consecutive naturals, for example, 1608999 + ... + 16274198.

Almost surely, 2^{131130330322200} is an apocalyptic number.

131130330322200 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 131130330322200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225621221583240).

131130330322200 is an abundant number, since it is smaller than the sum of its proper divisors (320112112844280).

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

131130330322200 is a wasteful number, since it uses less digits than its factorization.

131130330322200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17883339 (or 17883319 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 131130330322200 its reverse (2223033031131), we get a palindrome (133353363353331).

The spelling of 131130330322200 in words is "one hundred thirty-one trillion, one hundred thirty billion, three hundred thirty million, three hundred twenty-two thousand, two hundred".