131413140 has 108 divisors (see below), whose sum is σ = 407105244. Its totient is φ = 34311168.

The previous prime is 131413127. The next prime is 131413141. The reversal of 131413140 is 41314131.

It can be written as a sum of positive squares in 6 ways, for example, as 219024 + 131194116 = 468^2 + 11454^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131413141) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 959152 + ... + 959288.

It is an arithmetic number, because the mean of its divisors is an integer number (3769493).

Almost surely, 2^131413140 is an apocalyptic number.

131413140 is a gapful number since it is divisible by the number (10) 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 131413140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203552622).

131413140 is an abundant number, since it is smaller than the sum of its proper divisors (275692104).

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

131413140 is a wasteful number, since it uses less digits than its factorization.

131413140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298 (or 220 counting only the distinct ones).

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

The square root of 131413140 is about 11463.5570395929. The cubic root of 131413140 is about 508.4086498334.

Adding to 131413140 its reverse (41314131), we get a palindrome (172727271).

Subtracting from 131413140 its reverse (41314131), we obtain a palindrome (90099009).

The spelling of 131413140 in words is "one hundred thirty-one million, four hundred thirteen thousand, one hundred forty".