131333304564000 has 2304 divisors, whose sum is σ = 598405920473088. Its totient is φ = 26481945600000.

The previous prime is 131333304563999. The next prime is 131333304564023. The reversal of 131333304564000 is 465403333131.

131333304564000 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 3 + 3 + 3 + 0 + 4 + 5 + 640 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 44205082515 + ... + 44205085485.

It is an arithmetic number, because the mean of its divisors is an integer number (259724791872).

Almost surely, 2^{131333304564000} is an apocalyptic number.

131333304564000 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 131333304564000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299202960236544).

131333304564000 is an abundant number, since it is smaller than the sum of its proper divisors (467072615909088).

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

131333304564000 is a wasteful number, since it uses less digits than its factorization.

131333304564000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3488 (or 3467 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 36.

Adding to 131333304564000 its reverse (465403333131), we get a palindrome (131798707897131).

The spelling of 131333304564000 in words is "one hundred thirty-one trillion, three hundred thirty-three billion, three hundred four million, five hundred sixty-four thousand".