10013142100 has 72 divisors (see below), whose sum is σ = 23462838560. Its totient is φ = 3687223680.

The previous prime is 10013142091. The next prime is 10013142143. The reversal of 10013142100 is 124131001.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 482539 + ... + 502861.

Almost surely, 2^10013142100 is an apocalyptic number.

10013142100 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 10013142100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11731419280).

10013142100 is an abundant number, since it is smaller than the sum of its proper divisors (13449696460).

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

10013142100 is a wasteful number, since it uses less digits than its factorization.

10013142100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20729 (or 20722 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 10013142100 its reverse (124131001), we get a palindrome (10137273101).

The spelling of 10013142100 in words is "ten billion, thirteen million, one hundred forty-two thousand, one hundred".