10013400210 has 128 divisors (see below), whose sum is σ = 27344314368. Its totient is φ = 2324736000.

The previous prime is 10013400191. The next prime is 10013400211. The reversal of 10013400210 is 1200431001.

It is a happy number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10013400211) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 987265 + ... + 997355.

It is an arithmetic number, because the mean of its divisors is an integer number (213627456).

Almost surely, 2^10013400210 is an apocalyptic number.

10013400210 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 10013400210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13672157184).

10013400210 is an abundant number, since it is smaller than the sum of its proper divisors (17330914158).

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

10013400210 is a wasteful number, since it uses less digits than its factorization.

10013400210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10240.

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 10013400210 its reverse (1200431001), we get a palindrome (11213831211).

The spelling of 10013400210 in words is "ten billion, thirteen million, four hundred thousand, two hundred ten".