100133232013 has 2 divisors, whose sum is σ = 100133232014. Its totient is φ = 100133232012.

The previous prime is 100133232011. The next prime is 100133232079. The reversal of 100133232013 is 310232331001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 64180142244 + 35953089769 = 253338^2 + 189613^2 .

It is a cyclic number.

It is not a de Polignac number, because 100133232013 - 2¹ = 100133232011 is a prime.

Together with 100133232011, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100133232011) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50066616006 + 50066616007.

It is an arithmetic number, because the mean of its divisors is an integer number (50066616007).

Almost surely, 2^100133232013 is an apocalyptic number.

It is an amenable number.

100133232013 is a deficient number, since it is larger than the sum of its proper divisors (1).

100133232013 is an equidigital number, since it uses as much as digits as its factorization.

100133232013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 324, while the sum is 19.

Adding to 100133232013 its reverse (310232331001), we get a palindrome (410365563014).

The spelling of 100133232013 in words is "one hundred billion, one hundred thirty-three million, two hundred thirty-two thousand, thirteen".