10205663013 has 48 divisors (see below), whose sum is σ = 18940944960. Its totient is φ = 5383197792.

The previous prime is 10205663009. The next prime is 10205663033. The reversal of 10205663013 is 31036650201.

10205663013 is a `hidden beast` number, since 1 + 0 + 20 + 5 + 6 + 630 + 1 + 3 = 666.

It is not a de Polignac number, because 10205663013 - 2² = 10205663009 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10205663003) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 279495 + ... + 313892.

It is an arithmetic number, because the mean of its divisors is an integer number (394603020).

Almost surely, 2^10205663013 is an apocalyptic number.

10205663013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10205663013 is a deficient number, since it is larger than the sum of its proper divisors (8735281947).

10205663013 is a wasteful number, since it uses less digits than its factorization.

10205663013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 593423 (or 593410 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The spelling of 10205663013 in words is "ten billion, two hundred five million, six hundred sixty-three thousand, thirteen".