130033102002000 has 160 divisors (see below), whose sum is σ = 419357423871360. Its totient is φ = 34664683033600.

The previous prime is 130033102001969. The next prime is 130033102002049. The reversal of 130033102002000 is 200201330031.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15877219 + ... + 22630781.

It is an arithmetic number, because the mean of its divisors is an integer number (2620983899196).

Almost surely, 2^{130033102002000} is an apocalyptic number.

130033102002000 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 130033102002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209678711935680).

130033102002000 is an abundant number, since it is smaller than the sum of its proper divisors (289324321869360).

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

130033102002000 is a wasteful number, since it uses less digits than its factorization.

130033102002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6756798 (or 6756782 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 130033102002000 its reverse (200201330031), we get a palindrome (130233303332031).

The spelling of 130033102002000 in words is "one hundred thirty trillion, thirty-three billion, one hundred two million, two thousand".