10206523011213 has 6 divisors (see below), whose sum is σ = 14742755460654. Its totient is φ = 6804348674136.

The previous prime is 10206523011203. The next prime is 10206523011277. The reversal of 10206523011213 is 31211032560201.

10206523011213 is a `hidden beast` number, since 1 + 0 + 2 + 0 + 652 + 3 + 0 + 1 + 1 + 2 + 1 + 3 = 666.

It can be written as a sum of positive squares in only one way, i.e., 9671023969929 + 535499041284 = 3109827^2 + 731778^2 .

It is not a de Polignac number, because 10206523011213 - 2⁹ = 10206523010701 is a prime.

It is a super-2 number, since 2×10206523011213² (a number of 27 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10206523011203) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 567029056170 + ... + 567029056187.

It is an arithmetic number, because the mean of its divisors is an integer number (2457125910109).

Almost surely, 2^{10206523011213} is an apocalyptic number.

It is an amenable number.

10206523011213 is a deficient number, since it is larger than the sum of its proper divisors (4536232449441).

10206523011213 is a wasteful number, since it uses less digits than its factorization.

10206523011213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1134058112363 (or 1134058112360 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

Adding to 10206523011213 its reverse (31211032560201), we get a palindrome (41417555571414).

The spelling of 10206523011213 in words is "ten trillion, two hundred six billion, five hundred twenty-three million, eleven thousand, two hundred thirteen".