13001013100 has 72 divisors (see below), whose sum is σ = 28851153408. Its totient is φ = 5082926400.

The previous prime is 13001013083. The next prime is 13001013101. The reversal of 13001013100 is 131010031.

It is a super-2 number, since 2×13001013100² (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 not an unprimeable number, because it can be changed into a prime (13001013101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4844359 + ... + 4847041.

It is an arithmetic number, because the mean of its divisors is an integer number (400710464).

Almost surely, 2^13001013100 is an apocalyptic number.

13001013100 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 13001013100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14425576704).

13001013100 is an abundant number, since it is smaller than the sum of its proper divisors (15850140308).

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

13001013100 is a wasteful number, since it uses less digits than its factorization.

13001013100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3775 (or 3768 counting only the distinct ones).

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

Adding to 13001013100 its reverse (131010031), we get a palindrome (13132023131).

The spelling of 13001013100 in words is "thirteen billion, one million, thirteen thousand, one hundred".