205113102003 has 12 divisors (see below), whose sum is σ = 298161581328. Its totient is φ = 135871098480.

The previous prime is 205113101993. The next prime is 205113102041. The reversal of 205113102003 is 300201311502.

It is not a de Polignac number, because 205113102003 - 2⁵ = 205113101971 is a prime.

It is a super-2 number, since 2×205113102003² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (205113102703) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 72579303 + ... + 72582128.

It is an arithmetic number, because the mean of its divisors is an integer number (24846798444).

Almost surely, 2^205113102003 is an apocalyptic number.

205113102003 is a deficient number, since it is larger than the sum of its proper divisors (93048479325).

205113102003 is a wasteful number, since it uses less digits than its factorization.

205113102003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145161594 (or 145161591 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

Adding to 205113102003 its reverse (300201311502), we get a palindrome (505314413505).

The spelling of 205113102003 in words is "two hundred five billion, one hundred thirteen million, one hundred two thousand, three".