131000103200 has 36 divisors (see below), whose sum is σ = 319804003890. Its totient is φ = 52400040960.

The previous prime is 131000103197. The next prime is 131000103217. The reversal of 131000103200 is 2301000131.

131000103200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 119055361936 + 11944741264 = 345044^2 + 109292^2 .

It is a super-2 number, since 2×131000103200² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 81874265 + ... + 81875864.

Almost surely, 2^131000103200 is an apocalyptic number.

131000103200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131000103200 is an abundant number, since it is smaller than the sum of its proper divisors (188803900690).

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

131000103200 is a wasteful number, since it uses less digits than its factorization.

131000103200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163750149 (or 163750136 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 11.

Adding to 131000103200 its reverse (2301000131), we get a palindrome (133301103331).

The spelling of 131000103200 in words is "one hundred thirty-one billion, one hundred three thousand, two hundred".