101011013 has 2 divisors, whose sum is σ = 101011014. Its totient is φ = 101011012.

The previous prime is 101010979. The next prime is 101011019. The reversal of 101011013 is 310110101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 97259044 + 3751969 = 9862^2 + 1937^2 .

It is a cyclic number.

It is not a de Polignac number, because 101011013 - 2¹⁴ = 100994629 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101011019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50505506 + 50505507.

It is an arithmetic number, because the mean of its divisors is an integer number (50505507).

Almost surely, 2^101011013 is an apocalyptic number.

It is an amenable number.

101011013 is a deficient number, since it is larger than the sum of its proper divisors (1).

101011013 is an equidigital number, since it uses as much as digits as its factorization.

101011013 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.

The square root of 101011013 is about 10050.4235234143. The cubic root of 101011013 is about 465.7178767809.

Adding to 101011013 its reverse (310110101), we get a palindrome (411121114).

The spelling of 101011013 in words is "one hundred one million, eleven thousand, thirteen".