130213003320000 has 420 divisors, whose sum is σ = 478995991730256. Its totient is φ = 33784992000000.

The previous prime is 130213003319977. The next prime is 130213003320007. The reversal of 130213003320000 is 23300312031.

130213003320000 is a `hidden beast` number, since 1 + 30 + 2 + 1 + 300 + 332 + 0 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×130213003320000² (a number of 29 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 (130213003320007) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 8432125 + ... + 18207875.

Almost surely, 2^{130213003320000} is an apocalyptic number.

130213003320000 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 130213003320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239497995865128).

130213003320000 is an abundant number, since it is smaller than the sum of its proper divisors (348782988410256).

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

130213003320000 is an equidigital number, since it uses as much as digits as its factorization.

130213003320000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9775826 (or 9775798 counting only the distinct ones).

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

Adding to 130213003320000 its reverse (23300312031), we get a palindrome (130236303632031).

The spelling of 130213003320000 in words is "one hundred thirty trillion, two hundred thirteen billion, three million, three hundred twenty thousand".