131340400551360 has 8064 divisors, whose sum is σ = 673616013557760. Its totient is φ = 23616744652800.

The previous prime is 131340400551337. The next prime is 131340400551377. The reversal of 131340400551360 is 63155004043131.

131340400551360 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 4 + 0 + 40 + 0 + 551 + 3 + 60 = 666.

It is a super-4 number, since 4×131340400551360⁴ (a number of 58 digits) contains 4444 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 1151 ways as a sum of consecutive naturals, for example, 1662536715801 + ... + 1662536715879.

It is an arithmetic number, because the mean of its divisors is an integer number (83533731840).

Almost surely, 2^{131340400551360} is an apocalyptic number.

131340400551360 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 131340400551360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336808006778880).

131340400551360 is an abundant number, since it is smaller than the sum of its proper divisors (542275613006400).

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

131340400551360 is a wasteful number, since it uses less digits than its factorization.

131340400551360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

Adding to 131340400551360 its reverse (63155004043131), we get a palindrome (194495404594491).

The spelling of 131340400551360 in words is "one hundred thirty-one trillion, three hundred forty billion, four hundred million, five hundred fifty-one thousand, three hundred sixty".