10010120133003 has 16 divisors (see below), whose sum is σ = 14134636256256. Its totient is φ = 6279658824320.

The previous prime is 10010120132963. The next prime is 10010120133011. The reversal of 10010120133003 is 30033102101001.

10010120133003 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 10010120133003 - 2²¹ = 10010118035851 is a prime.

It is a super-3 number, since 3×10010120133003³ (a number of 40 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (10010120138003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18494151 + ... + 19027712.

It is an arithmetic number, because the mean of its divisors is an integer number (883414766016).

Almost surely, 2^{10010120133003} is an apocalyptic number.

10010120133003 is a deficient number, since it is larger than the sum of its proper divisors (4124516123253).

10010120133003 is a wasteful number, since it uses less digits than its factorization.

10010120133003 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37527114.

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 10010120133003 its reverse (30033102101001), we get a palindrome (40043222234004).

The spelling of 10010120133003 in words is "ten trillion, ten billion, one hundred twenty million, one hundred thirty-three thousand, three".