200120313133101 has 16 divisors (see below), whose sum is σ = 267295499677184. Its totient is φ = 133179381762624.

The previous prime is 200120313133033. The next prime is 200120313133127. The reversal of 200120313133101 is 101331313021002.

It is a happy number.

It is not a de Polignac number, because 200120313133101 - 2²⁷ = 200120178915373 is a prime.

It is a super-3 number, since 3×200120313133101³ (a number of 44 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200120313133171) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10970391 + ... + 22816443.

It is an arithmetic number, because the mean of its divisors is an integer number (16705968729824).

Almost surely, 2^{200120313133101} is an apocalyptic number.

It is an amenable number.

200120313133101 is a deficient number, since it is larger than the sum of its proper divisors (67175186544083).

200120313133101 is a wasteful number, since it uses less digits than its factorization.

200120313133101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11855940.

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 200120313133101 its reverse (101331313021002), we get a palindrome (301451626154103).

The spelling of 200120313133101 in words is "two hundred trillion, one hundred twenty billion, three hundred thirteen million, one hundred thirty-three thousand, one hundred one".