1010033013123 has 24 divisors (see below), whose sum is σ = 1490585241600. Its totient is φ = 658759947504.

The previous prime is 1010033013103. The next prime is 1010033013179. The reversal of 1010033013123 is 3213103300101.

It is a happy number.

1010033013123 is a `hidden beast` number, since 10 + 10 + 0 + 330 + 1 + 312 + 3 = 666.

It is not a de Polignac number, because 1010033013123 - 2¹⁶ = 1010032947587 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1010033013096 and 1010033013105.

It is not an unprimeable number, because it can be changed into a prime (1010033013103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 554638 + ... + 1525676.

It is an arithmetic number, because the mean of its divisors is an integer number (62107718400).

Almost surely, 2^{1010033013123} is an apocalyptic number.

1010033013123 is a deficient number, since it is larger than the sum of its proper divisors (480552228477).

1010033013123 is a wasteful number, since it uses less digits than its factorization.

1010033013123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 973551 (or 973548 counting only the distinct ones).

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

Adding to 1010033013123 its reverse (3213103300101), we get a palindrome (4223136313224).

The spelling of 1010033013123 in words is "one trillion, ten billion, thirty-three million, thirteen thousand, one hundred twenty-three".