10002011133330 has 160 divisors (see below), whose sum is σ = 27767090469888. Its totient is φ = 2580677366400.

The previous prime is 10002011133319. The next prime is 10002011133349. The reversal of 10002011133330 is 3333111020001.

It is a happy number.

10002011133330 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 201 + 1 + 133 + 330 = 666.

It is a super-2 number, since 2×10002011133330² (a number of 27 digits) contains 22 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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 144121819 + ... + 144191201.

Almost surely, 2^{10002011133330} is an apocalyptic number.

10002011133330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10002011133330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13883545234944).

10002011133330 is an abundant number, since it is smaller than the sum of its proper divisors (17765079336558).

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

10002011133330 is a wasteful number, since it uses less digits than its factorization.

10002011133330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75174 (or 75165 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 10002011133330 its reverse (3333111020001), we get a palindrome (13335122153331).

The spelling of 10002011133330 in words is "ten trillion, two billion, eleven million, one hundred thirty-three thousand, three hundred thirty".