131014208160 has 1152 divisors, whose sum is σ = 556356003840. Its totient is φ = 28740096000.

The previous prime is 131014208153. The next prime is 131014208161. The reversal of 131014208160 is 61802410131.

It is a happy number.

131014208160 is a `hidden beast` number, since 1 + 3 + 101 + 420 + 81 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (131014208161) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 186895810 + ... + 186896510.

It is an arithmetic number, because the mean of its divisors is an integer number (482947920).

Almost surely, 2^131014208160 is an apocalyptic number.

131014208160 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 131014208160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278178001920).

131014208160 is an abundant number, since it is smaller than the sum of its proper divisors (425341795680).

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

131014208160 is a wasteful number, since it uses less digits than its factorization.

131014208160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 784 (or 764 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

Adding to 131014208160 its reverse (61802410131), we get a palindrome (192816618291).

The spelling of 131014208160 in words is "one hundred thirty-one billion, fourteen million, two hundred eight thousand, one hundred sixty".