130331322000 has 640 divisors, whose sum is σ = 511675107840. Its totient is φ = 31449600000.

The previous prime is 130331321969. The next prime is 130331322007. The reversal of 130331322000 is 223133031.

130331322000 is a `hidden beast` number, since 13 + 0 + 331 + 322 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (130331322007) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 185921650 + ... + 185922350.

It is an arithmetic number, because the mean of its divisors is an integer number (799492356).

Almost surely, 2^130331322000 is an apocalyptic number.

130331322000 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 130331322000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255837553920).

130331322000 is an abundant number, since it is smaller than the sum of its proper divisors (381343785840).

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

130331322000 is a wasteful number, since it uses less digits than its factorization.

130331322000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1057 (or 1035 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 130331322000 its reverse (223133031), we get a palindrome (130554455031).

The spelling of 130331322000 in words is "one hundred thirty billion, three hundred thirty-one million, three hundred twenty-two thousand".