131302012301064 has 320 divisors, whose sum is σ = 411024756542400. Its totient is φ = 38814374707200.

The previous prime is 131302012301063. The next prime is 131302012301129. The reversal of 131302012301064 is 460103210203131.

It is a happy number.

131302012301064 is a `hidden beast` number, since 131 + 30 + 201 + 230 + 10 + 64 = 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 (131302012301063) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6116447659 + ... + 6116469125.

It is an arithmetic number, because the mean of its divisors is an integer number (1284452364195).

Almost surely, 2^{131302012301064} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131302012301064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205512378271200).

131302012301064 is an abundant number, since it is smaller than the sum of its proper divisors (279722744241336).

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

131302012301064 is a wasteful number, since it uses less digits than its factorization.

131302012301064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42466 (or 42453 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 131302012301064 its reverse (460103210203131), we get a palindrome (591405222504195).

The spelling of 131302012301064 in words is "one hundred thirty-one trillion, three hundred two billion, twelve million, three hundred one thousand, sixty-four".