131585111212320 has 576 divisors, whose sum is σ = 471757284311040. Its totient is φ = 33335269287936.

The previous prime is 131585111212283. The next prime is 131585111212327. The reversal of 131585111212320 is 23212111585131.

131585111212320 is a `hidden beast` number, since 1 + 3 + 1 + 5 + 8 + 5 + 111 + 212 + 320 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (131585111212327) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3031683739 + ... + 3031727141.

It is an arithmetic number, because the mean of its divisors is an integer number (819023063040).

Almost surely, 2^{131585111212320} is an apocalyptic number.

131585111212320 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 131585111212320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235878642155520).

131585111212320 is an abundant number, since it is smaller than the sum of its proper divisors (340172173098720).

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

131585111212320 is a wasteful number, since it uses less digits than its factorization.

131585111212320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44069 (or 44058 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 36.

Adding to 131585111212320 its reverse (23212111585131), we get a palindrome (154797222797451).

The spelling of 131585111212320 in words is "one hundred thirty-one trillion, five hundred eighty-five billion, one hundred eleven million, two hundred twelve thousand, three hundred twenty".