131531310 has 64 divisors (see below), whose sum is σ = 351763200. Its totient is φ = 34973856.

The previous prime is 131531299. The next prime is 131531317. The reversal of 131531310 is 13135131.

131531310 is a `hidden beast` number, since 131 + 531 + 3 + 1 + 0 = 666.

It is a super-2 number, since 2×131531310² = 34600971020632200, which contains 22 as substring.

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 (131531317) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 166737 + ... + 167523.

It is an arithmetic number, because the mean of its divisors is an integer number (5496300).

Almost surely, 2^131531310 is an apocalyptic number.

131531310 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 131531310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175881600).

131531310 is an abundant number, since it is smaller than the sum of its proper divisors (220231890).

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

131531310 is a wasteful number, since it uses less digits than its factorization.

131531310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1422 (or 1416 counting only the distinct ones).

The product of its (nonzero) digits is 135, while the sum is 18.

The square root of 131531310 is about 11468.7100408023. The cubic root of 131531310 is about 508.5609954590.

Adding to 131531310 its reverse (13135131), we get a palindrome (144666441).

It can be divided in two parts, 131531 and 310, that added together give a triangular number (131841 = T₅₁₃).

The spelling of 131531310 in words is "one hundred thirty-one million, five hundred thirty-one thousand, three hundred ten".