130223313000 has 768 divisors, whose sum is σ = 500928330240. Its totient is φ = 30233088000.

The previous prime is 130223312983. The next prime is 130223313007. The reversal of 130223313000 is 313322031.

130223313000 is a `hidden beast` number, since 1 + 30 + 2 + 2 + 331 + 300 + 0 = 666.

It is a super-2 number, since 2×130223313000² (a number of 23 digits) contains 22 as substring.

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 (130223313007) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 267398757 + ... + 267399243.

It is an arithmetic number, because the mean of its divisors is an integer number (652250430).

Almost surely, 2^130223313000 is an apocalyptic number.

130223313000 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 130223313000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250464165120).

130223313000 is an abundant number, since it is smaller than the sum of its proper divisors (370705017240).

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

130223313000 is a wasteful number, since it uses less digits than its factorization.

130223313000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 635 (or 618 counting only the distinct ones).

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

Adding to 130223313000 its reverse (313322031), we get a palindrome (130536635031).

The spelling of 130223313000 in words is "one hundred thirty billion, two hundred twenty-three million, three hundred thirteen thousand".