20101002013 has 4 divisors (see below), whose sum is σ = 20101286268. Its totient is φ = 20100717760.

The previous prime is 20101001983. The next prime is 20101002023. The reversal of 20101002013 is 31020010102.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in 2 ways, for example, as 5443783524 + 14657218489 = 73782^2 + 121067^2 .

It is a cyclic number.

It is not a de Polignac number, because 20101002013 - 2¹³ = 20100993821 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20101002023) 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 in 3 ways as a sum of consecutive naturals, for example, 56133 + ... + 208213.

It is an arithmetic number, because the mean of its divisors is an integer number (5025321567).

Almost surely, 2^20101002013 is an apocalyptic number.

It is an amenable number.

20101002013 is a deficient number, since it is larger than the sum of its proper divisors (284255).

20101002013 is a wasteful number, since it uses less digits than its factorization.

20101002013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284254.

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 20101002013 its reverse (31020010102), we get a palindrome (51121012115).

The spelling of 20101002013 in words is "twenty billion, one hundred one million, two thousand, thirteen".