1013205103 has 16 divisors (see below), whose sum is σ = 1063476000. Its totient is φ = 964035072.

The previous prime is 1013205097. The next prime is 1013205139. The reversal of 1013205103 is 3015023101.

1013205103 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 a de Polignac number, because none of the positive numbers 2^k-1013205103 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1013205203) 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, 1179088 + ... + 1179946.

It is an arithmetic number, because the mean of its divisors is an integer number (66467250).

Almost surely, 2^1013205103 is an apocalyptic number.

1013205103 is a deficient number, since it is larger than the sum of its proper divisors (50270897).

1013205103 is an equidigital number, since it uses as much as digits as its factorization.

1013205103 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1434.

The product of its (nonzero) digits is 90, while the sum is 16.

The square root of 1013205103 is about 31830.8828498363. The cubic root of 1013205103 is about 1004.3824669271.

Adding to 1013205103 its reverse (3015023101), we get a palindrome (4028228204).

It can be divided in two parts, 1013 and 205103, that added together give a square (206116 = 454²).

The spelling of 1013205103 in words is "one billion, thirteen million, two hundred five thousand, one hundred three".