20110100013 has 32 divisors (see below), whose sum is σ = 30027179520. Its totient is φ = 13301496000.

The previous prime is 20110100009. The next prime is 20110100053. The reversal of 20110100013 is 31000101102.

It is not a de Polignac number, because 20110100013 - 2² = 20110100009 is a prime.

It is a super-2 number, since 2×20110100013² (a number of 21 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 20110099968 and 20110100004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20110100053) 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 31 ways as a sum of consecutive naturals, for example, 3180331 + ... + 3186647.

It is an arithmetic number, because the mean of its divisors is an integer number (938349360).

Almost surely, 2^20110100013 is an apocalyptic number.

It is an amenable number.

20110100013 is a deficient number, since it is larger than the sum of its proper divisors (9917079507).

20110100013 is a wasteful number, since it uses less digits than its factorization.

20110100013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7234 (or 7228 counting only the distinct ones).

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

Adding to 20110100013 its reverse (31000101102), we get a palindrome (51110201115).

The spelling of 20110100013 in words is "twenty billion, one hundred ten million, one hundred thousand, thirteen".