10205711133 has 16 divisors (see below), whose sum is σ = 15034502016. Its totient is φ = 6125166080.

The previous prime is 10205711107. The next prime is 10205711161. The reversal of 10205711133 is 33111750201.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 10205711133 - 2⁵ = 10205711101 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10205711333) 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, 4349088 + ... + 4351433.

It is an arithmetic number, because the mean of its divisors is an integer number (939656376).

Almost surely, 2^10205711133 is an apocalyptic number.

It is an amenable number.

10205711133 is a deficient number, since it is larger than the sum of its proper divisors (4828790883).

10205711133 is a wasteful number, since it uses less digits than its factorization.

10205711133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8700564.

The product of its (nonzero) digits is 630, while the sum is 24.

The spelling of 10205711133 in words is "ten billion, two hundred five million, seven hundred eleven thousand, one hundred thirty-three".