131200131310100 has 36 divisors (see below), whose sum is σ = 287639380685244. Its totient is φ = 51939021050880.

The previous prime is 131200131310091. The next prime is 131200131310109. The reversal of 131200131310100 is 1013131002131.

It is an interprime number because it is at equal distance from previous prime (131200131310091) and next prime (131200131310109).

It can be written as a sum of positive squares in 6 ways, for example, as 88425348496 + 131111705961604 = 297364^2 + 11450402^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131200131310109) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6762883667 + ... + 6762903066.

Almost surely, 2^{131200131310100} is an apocalyptic number.

131200131310100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131200131310100 is an abundant number, since it is smaller than the sum of its proper divisors (156439249375144).

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

131200131310100 is a wasteful number, since it uses less digits than its factorization.

131200131310100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13525786844 (or 13525786837 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 17.

Adding to 131200131310100 its reverse (1013131002131), we get a palindrome (132213262312231).

The spelling of 131200131310100 in words is "one hundred thirty-one trillion, two hundred billion, one hundred thirty-one million, three hundred ten thousand, one hundred".