100023033013 has 2 divisors, whose sum is σ = 100023033014. Its totient is φ = 100023033012.

The previous prime is 100023032969. The next prime is 100023033031. The reversal of 100023033013 is 310330320001.

Together with next prime (100023033031) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 68716331044 + 31306701969 = 262138^2 + 176937^2 .

It is a cyclic number.

It is not a de Polignac number, because 100023033013 - 2¹³ = 100023024821 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100023033113) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50011516506 + 50011516507.

It is an arithmetic number, because the mean of its divisors is an integer number (50011516507).

Almost surely, 2^100023033013 is an apocalyptic number.

It is an amenable number.

100023033013 is a deficient number, since it is larger than the sum of its proper divisors (1).

100023033013 is an equidigital number, since it uses as much as digits as its factorization.

100023033013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 162, while the sum is 16.

Adding to 100023033013 its reverse (310330320001), we get a palindrome (410353353014).

The spelling of 100023033013 in words is "one hundred billion, twenty-three million, thirty-three thousand, thirteen".