10003113021 has 16 divisors (see below), whose sum is σ = 15405864768. Its totient is φ = 5705875200.

The previous prime is 10003113017. The next prime is 10003113031. The reversal of 10003113021 is 12031130001.

10003113021 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10003113021 - 2² = 10003113017 is a prime.

It is a super-2 number, since 2×10003113021² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10003112988 and 10003113006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10003113031) 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 15 ways as a sum of consecutive naturals, for example, 8914870 + ... + 8915991.

It is an arithmetic number, because the mean of its divisors is an integer number (962866548).

Almost surely, 2^10003113021 is an apocalyptic number.

10003113021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10003113021 is a deficient number, since it is larger than the sum of its proper divisors (5402751747).

10003113021 is a wasteful number, since it uses less digits than its factorization.

10003113021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17830892.

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 10003113021 its reverse (12031130001), we get a palindrome (22034243022).

The spelling of 10003113021 in words is "ten billion, three million, one hundred thirteen thousand, twenty-one".