10100320312133 has 32 divisors (see below), whose sum is σ = 11047709232000. Its totient is φ = 9197219506176.

The previous prime is 10100320312111. The next prime is 10100320312139. The reversal of 10100320312133 is 33121302300101.

It is not a de Polignac number, because 10100320312133 - 2²⁰ = 10100319263557 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100320312139) 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 31 ways as a sum of consecutive naturals, for example, 414291938 + ... + 414316316.

It is an arithmetic number, because the mean of its divisors is an integer number (345240913500).

Almost surely, 2^{10100320312133} is an apocalyptic number.

It is an amenable number.

10100320312133 is a deficient number, since it is larger than the sum of its proper divisors (947388919867).

10100320312133 is a wasteful number, since it uses less digits than its factorization.

10100320312133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30821.

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 10100320312133 its reverse (33121302300101), we get a palindrome (43221622612234).

The spelling of 10100320312133 in words is "ten trillion, one hundred billion, three hundred twenty million, three hundred twelve thousand, one hundred thirty-three".