131333304564 has 288 divisors, whose sum is σ = 426215043072. Its totient is φ = 33102432000.

The previous prime is 131333304559. The next prime is 131333304569. The reversal of 131333304564 is 465403333131.

131333304564 is a `hidden beast` number, since 1 + 31 + 3 + 33 + 30 + 4 + 564 = 666.

It is an interprime number because it is at equal distance from previous prime (131333304559) and next prime (131333304569).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131333304569) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 44203599 + ... + 44206569.

It is an arithmetic number, because the mean of its divisors is an integer number (1479913344).

Almost surely, 2^131333304564 is an apocalyptic number.

131333304564 is a gapful number since it is divisible by the number (14) 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 131333304564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213107521536).

131333304564 is an abundant number, since it is smaller than the sum of its proper divisors (294881738508).

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

131333304564 is a wasteful number, since it uses less digits than its factorization.

131333304564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3467 (or 3462 counting only the distinct ones).

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

Adding to 131333304564 its reverse (465403333131), we get a palindrome (596736637695).

The spelling of 131333304564 in words is "one hundred thirty-one billion, three hundred thirty-three million, three hundred four thousand, five hundred sixty-four".