130323213000 has 384 divisors, whose sum is σ = 454639068000. Its totient is φ = 33646233600.

The previous prime is 130323212939. The next prime is 130323213023. The reversal of 130323213000 is 312323031.

130323213000 is a `hidden beast` number, since 1 + 303 + 232 + 130 + 0 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 1469495556 + 128853717444 = 38334^2 + 358962^2 .

It is a super-3 number, since 3×130323213000³ (a number of 34 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 76256146 + ... + 76257854.

Almost surely, 2^130323213000 is an apocalyptic number.

130323213000 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 130323213000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227319534000).

130323213000 is an abundant number, since it is smaller than the sum of its proper divisors (324315855000).

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

130323213000 is a wasteful number, since it uses less digits than its factorization.

130323213000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2002 (or 1985 counting only the distinct ones).

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

Adding to 130323213000 its reverse (312323031), we get a palindrome (130635536031).

The spelling of 130323213000 in words is "one hundred thirty billion, three hundred twenty-three million, two hundred thirteen thousand".