131020414312200 has 192 divisors, whose sum is σ = 468693278376960. Its totient is φ = 29656770520320.

The previous prime is 131020414312091. The next prime is 131020414312201. The reversal of 131020414312200 is 2213414020131.

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

It is not an unprimeable number, because it can be changed into a prime (131020414312201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 151001074 + ... + 151866273.

It is an arithmetic number, because the mean of its divisors is an integer number (2441110824880).

Almost surely, 2^{131020414312200} is an apocalyptic number.

131020414312200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131020414312200 is an abundant number, since it is smaller than the sum of its proper divisors (337672864064760).

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

131020414312200 is a wasteful number, since it uses less digits than its factorization.

131020414312200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302867476 (or 302867467 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 131020414312200 its reverse (2213414020131), we get a palindrome (133233828332331).

The spelling of 131020414312200 in words is "one hundred thirty-one trillion, twenty billion, four hundred fourteen million, three hundred twelve thousand, two hundred".