100706767013 has 2 divisors, whose sum is σ = 100706767014. Its totient is φ = 100706767012.

The previous prime is 100706767009. The next prime is 100706767061. The reversal of 100706767013 is 310767607001.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 76639278244 + 24067488769 = 276838^2 + 155137^2 .

It is a cyclic number.

It is not a de Polignac number, because 100706767013 - 2² = 100706767009 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100706767913) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50353383506 + 50353383507.

It is an arithmetic number, because the mean of its divisors is an integer number (50353383507).

Almost surely, 2^100706767013 is an apocalyptic number.

It is an amenable number.

100706767013 is a deficient number, since it is larger than the sum of its proper divisors (1).

100706767013 is an equidigital number, since it uses as much as digits as its factorization.

100706767013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 37044, while the sum is 38.

The spelling of 100706767013 in words is "one hundred billion, seven hundred six million, seven hundred sixty-seven thousand, thirteen".