1013100205 has 32 divisors (see below), whose sum is σ = 1385024256. Its totient is φ = 705729024.

The previous prime is 1013100161. The next prime is 1013100211. The reversal of 1013100205 is 5020013101.

It is not a de Polignac number, because 1013100205 - 2¹¹ = 1013098157 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 104494 + ... + 113776.

It is an arithmetic number, because the mean of its divisors is an integer number (43282008).

Almost surely, 2^1013100205 is an apocalyptic number.

It is an amenable number.

1013100205 is a deficient number, since it is larger than the sum of its proper divisors (371924051).

1013100205 is a wasteful number, since it uses less digits than its factorization.

1013100205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9397.

The product of its (nonzero) digits is 30, while the sum is 13.

The square root of 1013100205 is about 31829.2350677801. The cubic root of 1013100205 is about 1004.3478042025.

Adding to 1013100205 its reverse (5020013101), we get a palindrome (6033113306).

The spelling of 1013100205 in words is "one billion, thirteen million, one hundred thousand, two hundred five".