10133103003330 has 128 divisors (see below), whose sum is σ = 25213357762560. Its totient is φ = 2603611422720.

The previous prime is 10133103003277. The next prime is 10133103003337. The reversal of 10133103003330 is 3330030133101.

It is a junction number, because it is equal to n+sod(n) for n = 10133103003297 and 10133103003306.

It is not an unprimeable number, because it can be changed into a prime (10133103003337) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 362958532 + ... + 362986448.

It is an arithmetic number, because the mean of its divisors is an integer number (196979357520).

Almost surely, 2^{10133103003330} is an apocalyptic number.

10133103003330 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 10133103003330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12606678881280).

10133103003330 is an abundant number, since it is smaller than the sum of its proper divisors (15080254759230).

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

10133103003330 is a wasteful number, since it uses less digits than its factorization.

10133103003330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29644.

The product of its (nonzero) digits is 729, while the sum is 21.

Adding to 10133103003330 its reverse (3330030133101), we get a palindrome (13463133136431).

The spelling of 10133103003330 in words is "ten trillion, one hundred thirty-three billion, one hundred three million, three thousand, three hundred thirty".