20010011013 has 20 divisors (see below), whose sum is σ = 29968387020. Its totient is φ = 13305693312.

The previous prime is 20010010961. The next prime is 20010011059. The reversal of 20010011013 is 31011001002.

It can be written as a sum of positive squares in 2 ways, for example, as 1899042084 + 18110968929 = 43578^2 + 134577^2 .

It is not a de Polignac number, because 20010011013 - 2¹² = 20010006917 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 = 20010010986 and 20010011004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20010011113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 286020 + ... + 349037.

It is an arithmetic number, because the mean of its divisors is an integer number (1498419351).

Almost surely, 2^20010011013 is an apocalyptic number.

It is an amenable number.

20010011013 is a deficient number, since it is larger than the sum of its proper divisors (9958376007).

20010011013 is an equidigital number, since it uses as much as digits as its factorization.

20010011013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 635458 (or 635449 counting only the distinct ones).

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

Adding to 20010011013 its reverse (31011001002), we get a palindrome (51021012015).

The spelling of 20010011013 in words is "twenty billion, ten million, eleven thousand, thirteen".