131200010320 has 20 divisors (see below), whose sum is σ = 305040024180. Its totient is φ = 52480004096.

The previous prime is 131200010287. The next prime is 131200010321. The reversal of 131200010320 is 23010002131.

It can be written as a sum of positive squares in 2 ways, for example, as 64002928144 + 67197082176 = 252988^2 + 259224^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a self number, because there is not a number n which added to its sum of digits gives 131200010320.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131200010321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 819999985 + ... + 820000144.

It is an arithmetic number, because the mean of its divisors is an integer number (15252001209).

Almost surely, 2^131200010320 is an apocalyptic number.

131200010320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131200010320 is an abundant number, since it is smaller than the sum of its proper divisors (173840013860).

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

131200010320 is a wasteful number, since it uses less digits than its factorization.

131200010320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1640000142 (or 1640000136 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 131200010320 its reverse (23010002131), we get a palindrome (154210012451).

The spelling of 131200010320 in words is "one hundred thirty-one billion, two hundred million, ten thousand, three hundred twenty".