101000988403013 has 2 divisors, whose sum is σ = 101000988403014. Its totient is φ = 101000988403012.

The previous prime is 101000988402989. The next prime is 101000988403093. The reversal of 101000988403013 is 310304889000101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 84858327812164 + 16142660590849 = 9211858^2 + 4017793^2 .

It is a cyclic number.

It is not a de Polignac number, because 101000988403013 - 2¹⁴ = 101000988386629 is a prime.

It is a super-2 number, since 2×101000988403013² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101000988403093) 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, 50500494201506 + 50500494201507.

It is an arithmetic number, because the mean of its divisors is an integer number (50500494201507).

Almost surely, 2^{101000988403013} is an apocalyptic number.

It is an amenable number.

101000988403013 is a deficient number, since it is larger than the sum of its proper divisors (1).

101000988403013 is an equidigital number, since it uses as much as digits as its factorization.

101000988403013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 20736, while the sum is 38.

The spelling of 101000988403013 in words is "one hundred one trillion, nine hundred eighty-eight million, four hundred three thousand, thirteen".