10120320200133 has 144 divisors (see below), whose sum is σ = 18919234990656. Its totient is φ = 5328670095360.

The previous prime is 10120320200101. The next prime is 10120320200213. The reversal of 10120320200133 is 33100202302101.

10120320200133 is a `hidden beast` number, since 1 + 0 + 12 + 0 + 320 + 200 + 133 = 666.

It is not a de Polignac number, because 10120320200133 - 2⁵ = 10120320200101 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10120320200633) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 9538585 + ... + 10546337.

It is an arithmetic number, because the mean of its divisors is an integer number (131383576324).

Almost surely, 2^{10120320200133} is an apocalyptic number.

10120320200133 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10120320200133 is a deficient number, since it is larger than the sum of its proper divisors (8798914790523).

10120320200133 is a wasteful number, since it uses less digits than its factorization.

10120320200133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1007826 (or 1007797 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 10120320200133 its reverse (33100202302101), we get a palindrome (43220522502234).

The spelling of 10120320200133 in words is "ten trillion, one hundred twenty billion, three hundred twenty million, two hundred thousand, one hundred thirty-three".