200120113202031 has 96 divisors (see below), whose sum is σ = 341785375027200. Its totient is φ = 111508645904640.

The previous prime is 200120113201951. The next prime is 200120113202033. The reversal of 200120113202031 is 130202311021002.

200120113202031 is a `hidden beast` number, since 20 + 0 + 120 + 1 + 1 + 320 + 203 + 1 = 666.

It is not a de Polignac number, because 200120113202031 - 2¹⁰ = 200120113201007 is a prime.

It is a super-4 number, since 4×200120113202031⁴ (a number of 58 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 200120113201995 and 200120113202013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200120113202033) 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 95 ways as a sum of consecutive naturals, for example, 23377330 + ... + 30769136.

It is an arithmetic number, because the mean of its divisors is an integer number (3560264323200).

Almost surely, 2^{200120113202031} is an apocalyptic number.

200120113202031 is a deficient number, since it is larger than the sum of its proper divisors (141665261825169).

200120113202031 is a wasteful number, since it uses less digits than its factorization.

200120113202031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7392269 (or 7392266 counting only the distinct ones).

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

Adding to 200120113202031 its reverse (130202311021002), we get a palindrome (330322424223033).

The spelling of 200120113202031 in words is "two hundred trillion, one hundred twenty billion, one hundred thirteen million, two hundred two thousand, thirty-one".