10013205151300 has 72 divisors (see below), whose sum is σ = 23413219610816. Its totient is φ = 3695109010560.

The previous prime is 10013205151297. The next prime is 10013205151309. The reversal of 10013205151300 is 315150231001.

It is not an unprimeable number, because it can be changed into a prime (10013205151309) 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 23 ways as a sum of consecutive naturals, for example, 157927 + ... + 4477873.

Almost surely, 2^{10013205151300} is an apocalyptic number.

10013205151300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10013205151300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11706609805408).

10013205151300 is an abundant number, since it is smaller than the sum of its proper divisors (13400014459516).

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

10013205151300 is a wasteful number, since it uses less digits than its factorization.

10013205151300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4321757 (or 4321750 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 22.

Adding to 10013205151300 its reverse (315150231001), we get a palindrome (10328355382301).

The spelling of 10013205151300 in words is "ten trillion, thirteen billion, two hundred five million, one hundred fifty-one thousand, three hundred".