131155328304000 has 10240 divisors, whose sum is σ = 731276414668800. Its totient is φ = 22359048192000.

The previous prime is 131155328303977. The next prime is 131155328304001. The reversal of 131155328304000 is 403823551131.

131155328304000 is a `hidden beast` number, since 1 + 3 + 1 + 1 + 5 + 532 + 83 + 0 + 40 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131155328304001) by changing a digit.

It is a polite number, since it can be written in 1279 ways as a sum of consecutive naturals, for example, 419026607844 + ... + 419026608156.

It is an arithmetic number, because the mean of its divisors is an integer number (71413712370).

Almost surely, 2^{131155328304000} is an apocalyptic number.

131155328304000 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 131155328304000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365638207334400).

131155328304000 is an abundant number, since it is smaller than the sum of its proper divisors (600121086364800).

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

131155328304000 is a wasteful number, since it uses less digits than its factorization.

131155328304000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 421 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 131155328304000 in words is "one hundred thirty-one trillion, one hundred fifty-five billion, three hundred twenty-eight million, three hundred four thousand".