13213033100 has 144 divisors (see below), whose sum is σ = 31164630336. Its totient is φ = 4849152000.

The previous prime is 13213033051. The next prime is 13213033103. The reversal of 13213033100 is 133031231.

It is a super-2 number, since 2×13213033100² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13213033103) 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, 5751152 + ... + 5753448.

It is an arithmetic number, because the mean of its divisors is an integer number (216421044).

Almost surely, 2^13213033100 is an apocalyptic number.

13213033100 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 13213033100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15582315168).

13213033100 is an abundant number, since it is smaller than the sum of its proper divisors (17951597236).

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

13213033100 is a wasteful number, since it uses less digits than its factorization.

13213033100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2436 (or 2429 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 17.

Adding to 13213033100 its reverse (133031231), we get a palindrome (13346064331).

The spelling of 13213033100 in words is "thirteen billion, two hundred thirteen million, thirty-three thousand, one hundred".