13211380 has 144 divisors (see below), whose sum is σ = 37403856. Its totient is φ = 3870720.

The previous prime is 13211357. The next prime is 13211381. The reversal of 13211380 is 8311231.

It can be written as a sum of positive squares in 8 ways, for example, as 2202256 + 11009124 = 1484^2 + 3318^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13211381) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 216550 + ... + 216610.

It is an arithmetic number, because the mean of its divisors is an integer number (259749).

Almost surely, 2^13211380 is an apocalyptic number.

13211380 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 13211380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18701928).

13211380 is an abundant number, since it is smaller than the sum of its proper divisors (24192476).

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

13211380 is a wasteful number, since it uses less digits than its factorization.

13211380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

The square root of 13211380 is about 3634.7462084718. The cubic root of 13211380 is about 236.4010465262.

It can be divided in two parts, 1321 and 1380, that added together give a triangular number (2701 = T₇₃).

The spelling of 13211380 in words is "thirteen million, two hundred eleven thousand, three hundred eighty".