131134114515040 has 192 divisors, whose sum is σ = 394445852357760. Its totient is φ = 40070689505280.

The previous prime is 131134114514989. The next prime is 131134114515077. The reversal of 131134114515040 is 40515411431131.

It is a junction number, because it is equal to n+sod(n) for n = 131134114514987 and 131134114515005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 154861621 + ... + 155706100.

It is an arithmetic number, because the mean of its divisors is an integer number (2054405481030).

Almost surely, 2^{131134114515040} is an apocalyptic number.

131134114515040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131134114515040 is an abundant number, since it is smaller than the sum of its proper divisors (263311737842720).

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

131134114515040 is a wasteful number, since it uses less digits than its factorization.

131134114515040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310567785 (or 310567777 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 34.

Adding to 131134114515040 its reverse (40515411431131), we get a palindrome (171649525946171).

The spelling of 131134114515040 in words is "one hundred thirty-one trillion, one hundred thirty-four billion, one hundred fourteen million, five hundred fifteen thousand, forty".