131135606514 has 96 divisors (see below), whose sum is σ = 320784235200. Its totient is φ = 38351134080.

The previous prime is 131135606491. The next prime is 131135606549. The reversal of 131135606514 is 415606531131.

131135606514 is a `hidden beast` number, since 1 + 3 + 1 + 1 + 35 + 606 + 5 + 14 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20914972 + ... + 20921240.

It is an arithmetic number, because the mean of its divisors is an integer number (3341502450).

Almost surely, 2^131135606514 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131135606514, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160392117600).

131135606514 is an abundant number, since it is smaller than the sum of its proper divisors (189648628686).

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

131135606514 is a wasteful number, since it uses less digits than its factorization.

131135606514 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9960 (or 9957 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The spelling of 131135606514 in words is "one hundred thirty-one billion, one hundred thirty-five million, six hundred six thousand, five hundred fourteen".