13121132200 has 96 divisors (see below), whose sum is σ = 33610036320. Its totient is φ = 4724000000.

The previous prime is 13121132113. The next prime is 13121132263. The reversal of 13121132200 is 223112131.

It is a super-2 number, since 2×13121132200² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 192675 + ... + 251725.

It is an arithmetic number, because the mean of its divisors is an integer number (350104545).

Almost surely, 2^13121132200 is an apocalyptic number.

13121132200 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 13121132200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16805018160).

13121132200 is an abundant number, since it is smaller than the sum of its proper divisors (20488904120).

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

13121132200 is a wasteful number, since it uses less digits than its factorization.

13121132200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59179 (or 59170 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 13121132200 its reverse (223112131), we get a palindrome (13344244331).

The spelling of 13121132200 in words is "thirteen billion, one hundred twenty-one million, one hundred thirty-two thousand, two hundred".