10113200010 has 144 divisors (see below), whose sum is σ = 27392601600. Its totient is φ = 2588257152.

The previous prime is 10113200003. The next prime is 10113200017. The reversal of 10113200010 is 1000231101.

It is an interprime number because it is at equal distance from previous prime (10113200003) and next prime (10113200017).

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 = 10113199965 and 10113200001.

It is not an unprimeable number, because it can be changed into a prime (10113200017) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9733071 + ... + 9734109.

It is an arithmetic number, because the mean of its divisors is an integer number (190226400).

Almost surely, 2^10113200010 is an apocalyptic number.

10113200010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10113200010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13696300800).

10113200010 is an abundant number, since it is smaller than the sum of its proper divisors (17279401590).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10113200010 is a wasteful number, since it uses less digits than its factorization.

10113200010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1205 (or 1165 counting only the distinct ones).

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

Adding to 10113200010 its reverse (1000231101), we get a palindrome (11113431111).

The spelling of 10113200010 in words is "ten billion, one hundred thirteen million, two hundred thousand, ten".