10013332330100 has 144 divisors (see below), whose sum is σ = 23847881512896. Its totient is φ = 3619166208000.

The previous prime is 10013332330091. The next prime is 10013332330147. The reversal of 10013332330100 is 103323331001.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1372249652 + ... + 1372256948.

It is an arithmetic number, because the mean of its divisors is an integer number (165610288284).

Almost surely, 2^{10013332330100} is an apocalyptic number.

10013332330100 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 10013332330100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11923940756448).

10013332330100 is an abundant number, since it is smaller than the sum of its proper divisors (13834549182796).

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

10013332330100 is a wasteful number, since it uses less digits than its factorization.

10013332330100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14706 (or 14699 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 20.

Adding to 10013332330100 its reverse (103323331001), we get a palindrome (10116655661101).

The spelling of 10013332330100 in words is "ten trillion, thirteen billion, three hundred thirty-two million, three hundred thirty thousand, one hundred".