131022315200 has 252 divisors, whose sum is σ = 391344162192. Its totient is φ = 42968217600.

The previous prime is 131022315169. The next prime is 131022315209. The reversal of 131022315200 is 2513220131.

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

It is not an unprimeable number, because it can be changed into a prime (131022315209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1766870 + ... + 1839530.

Almost surely, 2^131022315200 is an apocalyptic number.

131022315200 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 131022315200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195672081096).

131022315200 is an abundant number, since it is smaller than the sum of its proper divisors (260321846992).

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

131022315200 is a wasteful number, since it uses less digits than its factorization.

131022315200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72720 (or 72698 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

Adding to 131022315200 its reverse (2513220131), we get a palindrome (133535535331).

The spelling of 131022315200 in words is "one hundred thirty-one billion, twenty-two million, three hundred fifteen thousand, two hundred".