10013105052150 has 96 divisors (see below), whose sum is σ = 25253755941888. Its totient is φ = 2624914204800.

The previous prime is 10013105052113. The next prime is 10013105052151. The reversal of 10013105052150 is 5125050131001.

It is a self number, because there is not a number n which added to its sum of digits gives 10013105052150.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10013105052151) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16044859 + ... + 16657241.

It is an arithmetic number, because the mean of its divisors is an integer number (263059957728).

Almost surely, 2^{10013105052150} is an apocalyptic number.

10013105052150 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 10013105052150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12626877970944).

10013105052150 is an abundant number, since it is smaller than the sum of its proper divisors (15240650889738).

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

10013105052150 is a wasteful number, since it uses less digits than its factorization.

10013105052150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 614246 (or 614241 counting only the distinct ones).

The product of its (nonzero) digits is 750, while the sum is 24.

Adding to 10013105052150 its reverse (5125050131001), we get a palindrome (15138155183151).

It can be divided in two parts, 1001310 and 5052150, that added together give a triangular number (6053460 = T₃₄₇₉).

The spelling of 10013105052150 in words is "ten trillion, thirteen billion, one hundred five million, fifty-two thousand, one hundred fifty".