10205104012213 has 8 divisors (see below), whose sum is σ = 11140741992960. Its totient is φ = 9270782906880.

The previous prime is 10205104012171. The next prime is 10205104012267. The reversal of 10205104012213 is 31221040150201.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 10205104012213 - 2¹³ = 10205104004021 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10205104012283) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 329202645 + ... + 329233642.

It is an arithmetic number, because the mean of its divisors is an integer number (1392592749120).

Almost surely, 2^{10205104012213} is an apocalyptic number.

It is an amenable number.

10205104012213 is a deficient number, since it is larger than the sum of its proper divisors (935637980747).

10205104012213 is a wasteful number, since it uses less digits than its factorization.

10205104012213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 658437707.

The product of its (nonzero) digits is 480, while the sum is 22.

Adding to 10205104012213 its reverse (31221040150201), we get a palindrome (41426144162414).

The spelling of 10205104012213 in words is "ten trillion, two hundred five billion, one hundred four million, twelve thousand, two hundred thirteen".