131101312 has 32 divisors (see below), whose sum is σ = 265093920. Its totient is φ = 64568064.

The previous prime is 131101309. The next prime is 131101339. The reversal of 131101312 is 213101131.

It is a tau number, because it is divible by the number of its divisors (32).

It is a junction number, because it is equal to n+sod(n) for n = 131101292 and 131101301.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 933 + ... + 16219.

It is an arithmetic number, because the mean of its divisors is an integer number (8284185).

Almost surely, 2^131101312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131101312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132546960).

131101312 is an abundant number, since it is smaller than the sum of its proper divisors (133992608).

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

131101312 is an equidigital number, since it uses as much as digits as its factorization.

131101312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15368 (or 15356 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 13.

The square root of 131101312 is about 11449.9481221532. The cubic root of 131101312 is about 508.0061999367.

Adding to 131101312 its reverse (213101131), we get a palindrome (344202443).

It can be divided in two parts, 1311013 and 12, that added together give a square (1311025 = 1145²).

The spelling of 131101312 in words is "one hundred thirty-one million, one hundred one thousand, three hundred twelve".