200101314000213 has 6 divisors (see below), whose sum is σ = 289035231333654. Its totient is φ = 133400876000136.

The previous prime is 200101314000209. The next prime is 200101314000229. The reversal of 200101314000213 is 312000413101002.

200101314000213 is a `hidden beast` number, since 20 + 0 + 1 + 0 + 1 + 31 + 400 + 0 + 213 = 666.

It can be written as a sum of positive squares in only one way, i.e., 199902752857809 + 198561142404 = 14138697^2 + 445602^2 .

It is not a de Polignac number, because 200101314000213 - 2² = 200101314000209 is a prime.

It is a super-2 number, since 2×200101314000213² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200101314000253) 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, 11116739666670 + ... + 11116739666687.

It is an arithmetic number, because the mean of its divisors is an integer number (48172538555609).

Almost surely, 2^{200101314000213} is an apocalyptic number.

It is an amenable number.

200101314000213 is a deficient number, since it is larger than the sum of its proper divisors (88933917333441).

200101314000213 is a wasteful number, since it uses less digits than its factorization.

200101314000213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22233479333363 (or 22233479333360 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 200101314000213 its reverse (312000413101002), we get a palindrome (512101727101215).

The spelling of 200101314000213 in words is "two hundred trillion, one hundred one billion, three hundred fourteen million, two hundred thirteen", and thus it is an aban number.