1013033021 has 32 divisors (see below), whose sum is σ = 1364428800. Its totient is φ = 726367680.

The previous prime is 1013033003. The next prime is 1013033023. The reversal of 1013033021 is 1203303101.

1013033021 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 1013033021 - 2¹⁰ = 1013031997 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1013032987 and 1013033005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1013033023) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 357950 + ... + 360768.

It is an arithmetic number, because the mean of its divisors is an integer number (42638400).

Almost surely, 2^1013033021 is an apocalyptic number.

1013033021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1013033021 is a deficient number, since it is larger than the sum of its proper divisors (351395779).

1013033021 is a wasteful number, since it uses less digits than its factorization.

1013033021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3209.

The product of its (nonzero) digits is 54, while the sum is 14.

The square root of 1013033021 is about 31828.1796683379. The cubic root of 1013033021 is about 1004.3256025176.

Adding to 1013033021 its reverse (1203303101), we get a palindrome (2216336122).

It can be divided in two parts, 10 and 13033021, that added together give a palindrome (13033031).

The spelling of 1013033021 in words is "one billion, thirteen million, thirty-three thousand, twenty-one".