131305410016 has 384 divisors, whose sum is σ = 319328593920. Its totient is φ = 52455014400.

The previous prime is 131305409993. The next prime is 131305410023. The reversal of 131305410016 is 610014503131.

It is a super-2 number, since 2×131305410016² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 680338816 + ... + 680339008.

It is an arithmetic number, because the mean of its divisors is an integer number (831584880).

Almost surely, 2^131305410016 is an apocalyptic number.

131305410016 is a gapful number since it is divisible by the number (16) 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 131305410016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159664296960).

131305410016 is an abundant number, since it is smaller than the sum of its proper divisors (188023183904).

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

131305410016 is a wasteful number, since it uses less digits than its factorization.

131305410016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 378 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 25.

Adding to 131305410016 its reverse (610014503131), we get a palindrome (741319913147).

The spelling of 131305410016 in words is "one hundred thirty-one billion, three hundred five million, four hundred ten thousand, sixteen".