13033003100 has 144 divisors (see below), whose sum is σ = 31615372320. Its totient is φ = 4630348800.

The previous prime is 13033003073. The next prime is 13033003103. The reversal of 13033003100 is 130033031.

It is a super-2 number, since 2×13033003100² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13033003103) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19716770 + ... + 19717430.

Almost surely, 2^13033003100 is an apocalyptic number.

13033003100 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 13033003100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15807686160).

13033003100 is an abundant number, since it is smaller than the sum of its proper divisors (18582369220).

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

13033003100 is a wasteful number, since it uses less digits than its factorization.

13033003100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1240 (or 1233 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 14.

Adding to 13033003100 its reverse (130033031), we get a palindrome (13163036131).

The spelling of 13033003100 in words is "thirteen billion, thirty-three million, three thousand, one hundred".