10013103100 has 288 divisors, whose sum is σ = 29629103616. Its totient is φ = 2835993600.

The previous prime is 10013103077. The next prime is 10013103127. The reversal of 10013103100 is 130131001.

It is a super-2 number, since 2×10013103100² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6705954 + ... + 6707446.

It is an arithmetic number, because the mean of its divisors is an integer number (102878832).

Almost surely, 2^10013103100 is an apocalyptic number.

10013103100 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 10013103100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14814551808).

10013103100 is an abundant number, since it is smaller than the sum of its proper divisors (19616000516).

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

10013103100 is a wasteful number, since it uses less digits than its factorization.

10013103100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1605 (or 1598 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 10.

Adding to 10013103100 its reverse (130131001), we get a palindrome (10143234101).

The spelling of 10013103100 in words is "ten billion, thirteen million, one hundred three thousand, one hundred".