131330001000 has 256 divisors, whose sum is σ = 447763230720. Its totient is φ = 31783200000.

The previous prime is 131330000999. The next prime is 131330001007. The reversal of 131330001000 is 100033131.

131330001000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (131330001007) 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 63 ways as a sum of consecutive naturals, for example, 21347925 + ... + 21354075.

It is an arithmetic number, because the mean of its divisors is an integer number (1749075120).

Almost surely, 2^131330001000 is an apocalyptic number.

131330001000 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 131330001000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223881615360).

131330001000 is an abundant number, since it is smaller than the sum of its proper divisors (316433229720).

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

131330001000 is a wasteful number, since it uses less digits than its factorization.

131330001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6833 (or 6819 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 12.

Adding to 131330001000 its reverse (100033131), we get a palindrome (131430034131).

The spelling of 131330001000 in words is "one hundred thirty-one billion, three hundred thirty million, one thousand".