10100213133 has 24 divisors (see below), whose sum is σ = 13696131744. Its totient is φ = 6620755680.

The previous prime is 10100213131. The next prime is 10100213147. The reversal of 10100213133 is 33131200101.

It is not a de Polignac number, because 10100213133 - 2¹ = 10100213131 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100213131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7908691 + ... + 7909967.

It is an arithmetic number, because the mean of its divisors is an integer number (570672156).

Almost surely, 2^10100213133 is an apocalyptic number.

It is an amenable number.

10100213133 is a deficient number, since it is larger than the sum of its proper divisors (3595918611).

10100213133 is an equidigital number, since it uses as much as digits as its factorization.

10100213133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1945 (or 1874 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 10100213133 its reverse (33131200101), we get a palindrome (43231413234).

The spelling of 10100213133 in words is "ten billion, one hundred million, two hundred thirteen thousand, one hundred thirty-three".