100131010211033 has 2 divisors, whose sum is σ = 100131010211034. Its totient is φ = 100131010211032.

The previous prime is 100131010210999. The next prime is 100131010211059. The reversal of 100131010211033 is 330112010131001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 58016205884569 + 42114804326464 = 7616837^2 + 6489592^2 .

It is a cyclic number.

It is not a de Polignac number, because 100131010211033 - 2¹⁰ = 100131010210009 is a prime.

It is a super-2 number, since 2×100131010211033² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (100131010211083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50065505105516 + 50065505105517.

It is an arithmetic number, because the mean of its divisors is an integer number (50065505105517).

Almost surely, 2^{100131010211033} is an apocalyptic number.

It is an amenable number.

100131010211033 is a deficient number, since it is larger than the sum of its proper divisors (1).

100131010211033 is an equidigital number, since it uses as much as digits as its factorization.

100131010211033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 54, while the sum is 17.

Adding to 100131010211033 its reverse (330112010131001), we get a palindrome (430243020342034).

The spelling of 100131010211033 in words is "one hundred trillion, one hundred thirty-one billion, ten million, two hundred eleven thousand, thirty-three".