101003013 has 12 divisors (see below), whose sum is σ = 146086668. Its totient is φ = 67246080.

The previous prime is 101003009. The next prime is 101003029. The reversal of 101003013 is 310300101.

It can be written as a sum of positive squares in 2 ways, for example, as 67617729 + 33385284 = 8223^2 + 5778^2 .

It is not a de Polignac number, because 101003013 - 2² = 101003009 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 101002986 and 101003004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101003033) 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 in 11 ways as a sum of consecutive naturals, for example, 133 + ... + 14213.

It is an arithmetic number, because the mean of its divisors is an integer number (12173889).

Almost surely, 2^101003013 is an apocalyptic number.

It is an amenable number.

101003013 is a deficient number, since it is larger than the sum of its proper divisors (45083655).

101003013 is a wasteful number, since it uses less digits than its factorization.

101003013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14884 (or 14881 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 9.

The square root of 101003013 is about 10050.0255223557. The cubic root of 101003013 is about 465.7055816154.

Adding to 101003013 its reverse (310300101), we get a palindrome (411303114).

The spelling of 101003013 in words is "one hundred one million, three thousand, thirteen".