13701300 has 72 divisors (see below), whose sum is σ = 40101600. Its totient is φ = 3611520.

The previous prime is 13701277. The next prime is 13701301. The reversal of 13701300 is 310731.

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 13701300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13701301) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32491 + ... + 32909.

Almost surely, 2^13701300 is an apocalyptic number.

13701300 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 13701300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20050800).

13701300 is an abundant number, since it is smaller than the sum of its proper divisors (26400300).

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

13701300 is a wasteful number, since it uses less digits than its factorization.

13701300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 545 (or 538 counting only the distinct ones).

The product of its (nonzero) digits is 63, while the sum is 15.

The square root of 13701300 is about 3701.5267120473. The cubic root of 13701300 is about 239.2878193070.

The spelling of 13701300 in words is "thirteen million, seven hundred one thousand, three hundred".