131005365120 has 1536 divisors, whose sum is σ = 583407360000. Its totient is φ = 27718225920.

The previous prime is 131005365079. The next prime is 131005365131. The reversal of 131005365120 is 21563500131.

131005365120 is a `hidden beast` number, since 1 + 3 + 1 + 0 + 0 + 5 + 3 + 651 + 2 + 0 = 666.

It is a super-2 number, since 2×131005365120² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4225979505 + ... + 4225979535.

It is an arithmetic number, because the mean of its divisors is an integer number (379822500).

Almost surely, 2^131005365120 is an apocalyptic number.

131005365120 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 131005365120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291703680000).

131005365120 is an abundant number, since it is smaller than the sum of its proper divisors (452401994880).

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

131005365120 is an equidigital number, since it uses as much as digits as its factorization.

131005365120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

Adding to 131005365120 its reverse (21563500131), we get a palindrome (152568865251).

The spelling of 131005365120 in words is "one hundred thirty-one billion, five million, three hundred sixty-five thousand, one hundred twenty".