101001033013 has 4 divisors (see below), whose sum is σ = 103730790700. Its totient is φ = 98271275328.

The previous prime is 101001032969. The next prime is 101001033053. The reversal of 101001033013 is 310330100101.

It is a happy number.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 45532304689 + 55468728324 = 213383^2 + 235518^2 .

It is a cyclic number.

It is not a de Polignac number, because 101001033013 - 2²⁵ = 100967478581 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101001032984 and 101001033002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101001033053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1364878788 + ... + 1364878861.

It is an arithmetic number, because the mean of its divisors is an integer number (25932697675).

Almost surely, 2^101001033013 is an apocalyptic number.

It is an amenable number.

101001033013 is a deficient number, since it is larger than the sum of its proper divisors (2729757687).

101001033013 is an equidigital number, since it uses as much as digits as its factorization.

101001033013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2729757686.

The product of its (nonzero) digits is 27, while the sum is 13.

Adding to 101001033013 its reverse (310330100101), we get a palindrome (411331133114).

The spelling of 101001033013 in words is "one hundred one billion, one million, thirty-three thousand, thirteen".