1013000021 has 6 divisors (see below), whose sum is σ = 1113462966. Its totient is φ = 920909000.

The previous prime is 1013000011. The next prime is 1013000033. The reversal of 1013000021 is 1200003101.

1013000021 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 1000140625 + 12859396 = 31625^2 + 3586^2 .

It is not a de Polignac number, because 1013000021 - 2¹⁸ = 1012737877 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1012999972 and 1013000008.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1013000011) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4185830 + ... + 4186071.

It is an arithmetic number, because the mean of its divisors is an integer number (185577161).

Almost surely, 2^1013000021 is an apocalyptic number.

1013000021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1013000021 is a deficient number, since it is larger than the sum of its proper divisors (100462945).

1013000021 is an equidigital number, since it uses as much as digits as its factorization.

1013000021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8371923 (or 8371912 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 8.

The square root of 1013000021 is about 31827.6612555808. The cubic root of 1013000021 is about 1004.3146969486.

Adding to 1013000021 its reverse (1200003101), we get a palindrome (2213003122).

It can be divided in two parts, 10 and 13000021, that added together give a palindrome (13000031).

The spelling of 1013000021 in words is "one billion, thirteen million, twenty-one", and thus it is an aban number and an uban number.