100101010013 has 2 divisors, whose sum is σ = 100101010014. Its totient is φ = 100101010012.

The previous prime is 100101009973. The next prime is 100101010033. The reversal of 100101010013 is 310010101001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 97560648409 + 2540361604 = 312347^2 + 50402^2 .

It is an emirp because it is prime and its reverse (310010101001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100101010013 - 2²⁴ = 100084232797 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100101010033) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50050505006 + 50050505007.

It is an arithmetic number, because the mean of its divisors is an integer number (50050505007).

Almost surely, 2^100101010013 is an apocalyptic number.

It is an amenable number.

100101010013 is a deficient number, since it is larger than the sum of its proper divisors (1).

100101010013 is an equidigital number, since it uses as much as digits as its factorization.

100101010013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3, while the sum is 8.

Adding to 100101010013 its reverse (310010101001), we get a palindrome (410111111014).

It can be divided in two parts, 10010101001 and 3, that multiplied together give a palindrome (30030303003).

The spelling of 100101010013 in words is "one hundred billion, one hundred one million, ten thousand, thirteen".