101012013 has 6 divisors (see below), whose sum is σ = 145906254. Its totient is φ = 67341336.

The previous prime is 101011991. The next prime is 101012029. The reversal of 101012013 is 310210101.

It can be written as a sum of positive squares in only one way, i.e., 80245764 + 20766249 = 8958^2 + 4557^2 .

It is not a de Polignac number, because 101012013 - 2²¹ = 98914861 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 11223557 = 101012013 / (1 + 0 + 1 + 0 + 1 + 2 + 0 + 1 + 3).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 101011986 and 101012004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101012033) 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 5 ways as a sum of consecutive naturals, for example, 5611770 + ... + 5611787.

It is an arithmetic number, because the mean of its divisors is an integer number (24317709).

Almost surely, 2^101012013 is an apocalyptic number.

It is an amenable number.

101012013 is a deficient number, since it is larger than the sum of its proper divisors (44894241).

101012013 is a wasteful number, since it uses less digits than its factorization.

101012013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11223563 (or 11223560 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 101012013 is about 10050.4732724385. The cubic root of 101012013 is about 465.7194136310.

Adding to 101012013 its reverse (310210101), we get a palindrome (411222114).

The spelling of 101012013 in words is "one hundred one million, twelve thousand, thirteen".