13121700 has 72 divisors (see below), whose sum is σ = 38330880. Its totient is φ = 3465600.

The previous prime is 13121683. The next prime is 13121729. The reversal of 13121700 is 712131.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 13121700.

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, 57186 + ... + 57414.

Almost surely, 2^13121700 is an apocalyptic number.

13121700 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 13121700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19165440).

13121700 is an abundant number, since it is smaller than the sum of its proper divisors (25209180).

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

13121700 is a wasteful number, since it uses less digits than its factorization.

13121700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437 (or 430 counting only the distinct ones).

The product of its (nonzero) digits is 42, while the sum is 15.

The square root of 13121700 is about 3622.3887146467. The cubic root of 13121700 is about 235.8649279744.

Adding to 13121700 its reverse (712131), we get a palindrome (13833831).

The spelling of 13121700 in words is "thirteen million, one hundred twenty-one thousand, seven hundred".