13013003100 has 108 divisors (see below), whose sum is σ = 39737211864. Its totient is φ = 3287468160.

The previous prime is 13013003099. The next prime is 13013003117. The reversal of 13013003100 is 130031031.

13013003100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×13013003100² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 48222 + ... + 168378.

Almost surely, 2^13013003100 is an apocalyptic number.

13013003100 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 13013003100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19868605932).

13013003100 is an abundant number, since it is smaller than the sum of its proper divisors (26724208764).

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

13013003100 is a wasteful number, since it uses less digits than its factorization.

13013003100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120212 (or 120186 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 12.

Adding to 13013003100 its reverse (130031031), we get a palindrome (13143034131).

The spelling of 13013003100 in words is "thirteen billion, thirteen million, three thousand, one hundred".