205101045003213 has 32 divisors (see below), whose sum is σ = 315583418908800. Its totient is φ = 131493090960000.

The previous prime is 205101045003203. The next prime is 205101045003229. The reversal of 205101045003213 is 312300540101502.

205101045003213 is a `hidden beast` number, since 2 + 0 + 5 + 10 + 104 + 500 + 32 + 13 = 666.

It is not a de Polignac number, because 205101045003213 - 2¹⁴ = 205101044986829 is a prime.

It is a super-2 number, since 2×205101045003213² (a number of 29 digits) contains 22 as substring.

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 (205101045003203) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 521601448 + ... + 521994513.

It is an arithmetic number, because the mean of its divisors is an integer number (9861981840900).

Almost surely, 2^{205101045003213} is an apocalyptic number.

It is an amenable number.

205101045003213 is a deficient number, since it is larger than the sum of its proper divisors (110482373905587).

205101045003213 is a wasteful number, since it uses less digits than its factorization.

205101045003213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1043596250 (or 1043596244 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

Adding to 205101045003213 its reverse (312300540101502), we get a palindrome (517401585104715).

The spelling of 205101045003213 in words is "two hundred five trillion, one hundred one billion, forty-five million, three thousand, two hundred thirteen".