131311103130 has 112 divisors (see below), whose sum is σ = 356217837480. Its totient is φ = 34834489344.

The previous prime is 131311103107. The next prime is 131311103201. The reversal of 131311103130 is 31301113131.

131311103130 is a `hidden beast` number, since 1 + 31 + 311 + 10 + 313 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 73294191441 + 58016911689 = 270729^2 + 240867^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1360306 + ... + 1453634.

Almost surely, 2^131311103130 is an apocalyptic number.

131311103130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 131311103130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178108918740).

131311103130 is an abundant number, since it is smaller than the sum of its proper divisors (224906734350).

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

131311103130 is an equidigital number, since it uses as much as digits as its factorization.

131311103130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93547 (or 93532 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 18.

Adding to 131311103130 its reverse (31301113131), we get a palindrome (162612216261).

The spelling of 131311103130 in words is "one hundred thirty-one billion, three hundred eleven million, one hundred three thousand, one hundred thirty".