10001000220133 has 12 divisors (see below), whose sum is σ = 10977355540900. Its totient is φ = 9057509600256.

The previous prime is 10001000220119. The next prime is 10001000220143. The reversal of 10001000220133 is 33102200010001.

It can be written as a sum of positive squares in 6 ways, for example, as 1545106178529 + 8455894041604 = 1243023^2 + 2907902^2 .

It is not a de Polignac number, because 10001000220133 - 2⁴¹ = 7801976964581 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10001000220143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 136899708 + ... + 136972741.

Almost surely, 2^{10001000220133} is an apocalyptic number.

10001000220133 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10001000220133 is a deficient number, since it is larger than the sum of its proper divisors (976355320767).

10001000220133 is an equidigital number, since it uses as much as digits as its factorization.

10001000220133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273872568 (or 273872515 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 10001000220133 its reverse (33102200010001), we get a palindrome (43103200230134).

The spelling of 10001000220133 in words is "ten trillion, one billion, two hundred twenty thousand, one hundred thirty-three".