10110200013 has 24 divisors (see below), whose sum is σ = 15017254200. Its totient is φ = 6549686784.

The previous prime is 10110200011. The next prime is 10110200027. The reversal of 10110200013 is 31000201101.

It can be written as a sum of positive squares in 4 ways, for example, as 2562586884 + 7547613129 = 50622^2 + 86877^2 .

It is not a de Polignac number, because 10110200013 - 2¹ = 10110200011 is a prime.

It is a super-2 number, since 2×10110200013² (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 = 10110199968 and 10110200004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10110200011) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 250633 + ... + 288161.

It is an arithmetic number, because the mean of its divisors is an integer number (625718925).

Almost surely, 2^10110200013 is an apocalyptic number.

It is an amenable number.

10110200013 is a deficient number, since it is larger than the sum of its proper divisors (4907054187).

10110200013 is a wasteful number, since it uses less digits than its factorization.

10110200013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38381 (or 38378 counting only the distinct ones).

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

Adding to 10110200013 its reverse (31000201101), we get a palindrome (41110401114).

The spelling of 10110200013 in words is "ten billion, one hundred ten million, two hundred thousand, thirteen".