130010133000000 has 784 divisors, whose sum is σ = 469732697344512. Its totient is φ = 31472736000000.

The previous prime is 130010132999983. The next prime is 130010133000043. The reversal of 130010133000000 is 331010031.

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

It is a self number, because there is not a number n which added to its sum of digits gives 130010133000000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 27158997607 + ... + 27159002393.

Almost surely, 2^{130010133000000} is an apocalyptic number.

130010133000000 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 130010133000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234866348672256).

130010133000000 is an abundant number, since it is smaller than the sum of its proper divisors (339722564344512).

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

130010133000000 is an frugal number, since it uses more digits than its factorization.

130010133000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5666 (or 5631 counting only the distinct ones).

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

Adding to 130010133000000 its reverse (331010031), we get a palindrome (130010464010031).

The spelling of 130010133000000 in words is "one hundred thirty trillion, ten billion, one hundred thirty-three million", and thus it is an aban number.