131012200000 has 672 divisors, whose sum is σ = 390880982016. Its totient is φ = 43008000000.

The previous prime is 131012199973. The next prime is 131012200009. The reversal of 131012200000 is 2210131.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a self number, because there is not a number n which added to its sum of digits gives 131012200000.

It is not an unprimeable number, because it can be changed into a prime (131012200009) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1159399944 + ... + 1159400056.

It is an arithmetic number, because the mean of its divisors is an integer number (581668128).

Almost surely, 2^131012200000 is an apocalyptic number.

131012200000 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 131012200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195440491008).

131012200000 is an abundant number, since it is smaller than the sum of its proper divisors (259868782016).

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

131012200000 is a wasteful number, since it uses less digits than its factorization.

131012200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 131012200000 its reverse (2210131), we get a palindrome (131014410131).

The spelling of 131012200000 in words is "one hundred thirty-one billion, twelve million, two hundred thousand".