100220310133 has 2 divisors, whose sum is σ = 100220310134. Its totient is φ = 100220310132.

The previous prime is 100220310121. The next prime is 100220310143. The reversal of 100220310133 is 331013022001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 83216671729 + 17003638404 = 288473^2 + 130398^2 .

It is a cyclic number.

It is not a de Polignac number, because 100220310133 - 2²¹ = 100218212981 is a prime.

It is a super-2 number, since 2×100220310133² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100220310143) 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 as a sum of consecutive naturals, namely, 50110155066 + 50110155067.

It is an arithmetic number, because the mean of its divisors is an integer number (50110155067).

Almost surely, 2^100220310133 is an apocalyptic number.

It is an amenable number.

100220310133 is a deficient number, since it is larger than the sum of its proper divisors (1).

100220310133 is an equidigital number, since it uses as much as digits as its factorization.

100220310133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 100220310133 its reverse (331013022001), we get a palindrome (431233332134).

The spelling of 100220310133 in words is "one hundred billion, two hundred twenty million, three hundred ten thousand, one hundred thirty-three".