100133131013 has 2 divisors, whose sum is σ = 100133131014. Its totient is φ = 100133131012.

The previous prime is 100133131001. The next prime is 100133131061. The reversal of 100133131013 is 310131331001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 54001393924 + 46131737089 = 232382^2 + 214783^2 .

It is a cyclic number.

It is not a de Polignac number, because 100133131013 - 2¹² = 100133126917 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100133130982 and 100133131000.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100133133013) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50066565506 + 50066565507.

It is an arithmetic number, because the mean of its divisors is an integer number (50066565507).

Almost surely, 2^100133131013 is an apocalyptic number.

It is an amenable number.

100133131013 is a deficient number, since it is larger than the sum of its proper divisors (1).

100133131013 is an equidigital number, since it uses as much as digits as its factorization.

100133131013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 81, while the sum is 17.

Adding to 100133131013 its reverse (310131331001), we get a palindrome (410264462014).

The spelling of 100133131013 in words is "one hundred billion, one hundred thirty-three million, one hundred thirty-one thousand, thirteen".