131324164464 has 80 divisors (see below), whose sum is σ = 348354489600. Its totient is φ = 42614888448.

The previous prime is 131324164459. The next prime is 131324164469. The reversal of 131324164464 is 464461423131.

It is an interprime number because it is at equal distance from previous prime (131324164459) and next prime (131324164469).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131324164469) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66592 + ... + 516800.

It is an arithmetic number, because the mean of its divisors is an integer number (4354431120).

Almost surely, 2^131324164464 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 131324164464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174177244800).

131324164464 is an abundant number, since it is smaller than the sum of its proper divisors (217030325136).

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

131324164464 is a wasteful number, since it uses less digits than its factorization.

131324164464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 450382 (or 450376 counting only the distinct ones).

The product of its digits is 165888, while the sum is 39.

Adding to 131324164464 its reverse (464461423131), we get a palindrome (595785587595).

The spelling of 131324164464 in words is "one hundred thirty-one billion, three hundred twenty-four million, one hundred sixty-four thousand, four hundred sixty-four".