100010133001 has 2 divisors, whose sum is σ = 100010133002. Its totient is φ = 100010133000.

The previous prime is 100010132993. The next prime is 100010133007. The reversal of 100010133001 is 100331010001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 86876973001 + 13133160000 = 294749^2 + 114600^2 .

It is an emirp because it is prime and its reverse (100331010001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100010133001 - 2³ = 100010132993 is a prime.

It is not a weakly prime, because it can be changed into another prime (100010133007) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50005066500 + 50005066501.

It is an arithmetic number, because the mean of its divisors is an integer number (50005066501).

Almost surely, 2^100010133001 is an apocalyptic number.

It is an amenable number.

100010133001 is a deficient number, since it is larger than the sum of its proper divisors (1).

100010133001 is an equidigital number, since it uses as much as digits as its factorization.

100010133001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 9, while the sum is 10.

Adding to 100010133001 its reverse (100331010001), we get a palindrome (200341143002).

The spelling of 100010133001 in words is "one hundred billion, ten million, one hundred thirty-three thousand, one".