10000313205 has 16 divisors (see below), whose sum is σ = 16096316544. Its totient is φ = 5301561920.

The previous prime is 10000313131. The next prime is 10000313207. The reversal of 10000313205 is 50231300001.

It is a happy number.

It is not a de Polignac number, because 10000313205 - 2⁷ = 10000313077 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10000313207) 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, 1993566 + ... + 1998575.

It is an arithmetic number, because the mean of its divisors is an integer number (1006019784).

Almost surely, 2^10000313205 is an apocalyptic number.

10000313205 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10000313205 is a deficient number, since it is larger than the sum of its proper divisors (6096003339).

10000313205 is a wasteful number, since it uses less digits than its factorization.

10000313205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3992316.

The product of its (nonzero) digits is 90, while the sum is 15.

Adding to 10000313205 its reverse (50231300001), we get a palindrome (60231613206).

It can be divided in two parts, 1000031 and 3205, that added together give a triangular number (1003236 = T₁₄₁₆).

The spelling of 10000313205 in words is "ten billion, three hundred thirteen thousand, two hundred five".