100011001101013 has 2 divisors, whose sum is σ = 100011001101014. Its totient is φ = 100011001101012.

The previous prime is 100011001100981. The next prime is 100011001101017. The reversal of 100011001101013 is 310101100110001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 99009226314244 + 1001774786769 = 9950338^2 + 1000887^2 .

It is a cyclic number.

It is not a de Polignac number, because 100011001101013 - 2⁵ = 100011001100981 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100011001101017) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50005500550506 + 50005500550507.

It is an arithmetic number, because the mean of its divisors is an integer number (50005500550507).

Almost surely, 2^{100011001101013} is an apocalyptic number.

It is an amenable number.

100011001101013 is a deficient number, since it is larger than the sum of its proper divisors (1).

100011001101013 is an equidigital number, since it uses as much as digits as its factorization.

100011001101013 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 10.

Adding to 100011001101013 its reverse (310101100110001), we get a palindrome (410112101211014).

The spelling of 100011001101013 in words is "one hundred trillion, eleven billion, one million, one hundred one thousand, thirteen".