131103312 has 80 divisors (see below), whose sum is σ = 356227200. Its totient is φ = 41468416.

The previous prime is 131103311. The next prime is 131103361. The reversal of 131103312 is 213301131.

It is a junction number, because it is equal to n+sod(n) for n = 131103291 and 131103300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131103311) 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 15 ways as a sum of consecutive naturals, for example, 164098 + ... + 164894.

It is an arithmetic number, because the mean of its divisors is an integer number (4452840).

Almost surely, 2^131103312 is an apocalyptic number.

131103312 is a gapful number since it is divisible by the number (12) 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 131103312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178113600).

131103312 is an abundant number, since it is smaller than the sum of its proper divisors (225123888).

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

131103312 is a wasteful number, since it uses less digits than its factorization.

131103312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 980 (or 974 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

The square root of 131103312 is about 11450.0354584604. The cubic root of 131103312 is about 508.0087831990.

Adding to 131103312 its reverse (213301131), we get a palindrome (344404443).

The spelling of 131103312 in words is "one hundred thirty-one million, one hundred three thousand, three hundred twelve".