10133220003000 has 128 divisors (see below), whose sum is σ = 31624279053120. Its totient is φ = 2701454169600.

The previous prime is 10133220002933. The next prime is 10133220003029. The reversal of 10133220003000 is 30002233101.

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, 10571694 + ... + 11490306.

Almost surely, 2^{10133220003000} is an apocalyptic number.

10133220003000 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 10133220003000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15812139526560).

10133220003000 is an abundant number, since it is smaller than the sum of its proper divisors (21491059050120).

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

10133220003000 is a wasteful number, since it uses less digits than its factorization.

10133220003000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 922314 (or 922300 counting only the distinct ones).

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

Adding to 10133220003000 its reverse (30002233101), we get a palindrome (10163222236101).

The spelling of 10133220003000 in words is "ten trillion, one hundred thirty-three billion, two hundred twenty million, three thousand".