10200323133 has 192 divisors, whose sum is σ = 20651065344. Its totient is φ = 4681152000.

The previous prime is 10200323123. The next prime is 10200323137. The reversal of 10200323133 is 33132300201.

10200323133 is a `hidden beast` number, since 10 + 200 + 323 + 133 = 666.

It is not a de Polignac number, because 10200323133 - 2⁴ = 10200323117 is a prime.

It is a super-2 number, since 2×10200323133² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10200323137) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 23666428 + ... + 23666858.

It is an arithmetic number, because the mean of its divisors is an integer number (107557632).

Almost surely, 2^10200323133 is an apocalyptic number.

10200323133 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10200323133 is an abundant number, since it is smaller than the sum of its proper divisors (10450742211).

10200323133 is a wasteful number, since it uses less digits than its factorization.

10200323133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 576 (or 573 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 10200323133 its reverse (33132300201), we get a palindrome (43332623334).

It can be divided in two parts, 1020032 and 3133, that added together give a triangular number (1023165 = T₁₄₃₀).

The spelling of 10200323133 in words is "ten billion, two hundred million, three hundred twenty-three thousand, one hundred thirty-three".