131101344 has 144 divisors (see below), whose sum is σ = 421031520. Its totient is φ = 38330880.

The previous prime is 131101343. The next prime is 131101381. The reversal of 131101344 is 443101131.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is not an unprimeable number, because it can be changed into a prime (131101343) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 91159 + ... + 92585.

It is an arithmetic number, because the mean of its divisors is an integer number (2923830).

Almost surely, 2^131101344 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 131101344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210515760).

131101344 is an abundant number, since it is smaller than the sum of its proper divisors (289930176).

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

131101344 is a wasteful number, since it uses less digits than its factorization.

131101344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1483 (or 1472 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 131101344 is about 11449.9495195394. The cubic root of 131101344 is about 508.0062412691.

Adding to 131101344 its reverse (443101131), we get a palindrome (574202475).

It can be divided in two parts, 131 and 101344, that added together give a triangular number (101475 = T₄₅₀).

The spelling of 131101344 in words is "one hundred thirty-one million, one hundred one thousand, three hundred forty-four".