131350415350540 has 192 divisors, whose sum is σ = 304521435187200. Its totient is φ = 47367113830400.

The previous prime is 131350415350519. The next prime is 131350415350549. The reversal of 131350415350540 is 45053514053131.

131350415350540 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×131350415350540² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 131350415350493 and 131350415350502.

It is not an unprimeable number, because it can be changed into a prime (131350415350549) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5671667481 + ... + 5671690639.

It is an arithmetic number, because the mean of its divisors is an integer number (1586049141600).

Almost surely, 2^{131350415350540} is an apocalyptic number.

131350415350540 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 131350415350540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152260717593600).

131350415350540 is an abundant number, since it is smaller than the sum of its proper divisors (173171019836660).

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

131350415350540 is a wasteful number, since it uses less digits than its factorization.

131350415350540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27736 (or 27734 counting only the distinct ones).

The product of its (nonzero) digits is 270000, while the sum is 40.

The spelling of 131350415350540 in words is "one hundred thirty-one trillion, three hundred fifty billion, four hundred fifteen million, three hundred fifty thousand, five hundred forty".