13201411340 has 72 divisors (see below), whose sum is σ = 30051337680. Its totient is φ = 4869206784.

The previous prime is 13201411283. The next prime is 13201411373. The reversal of 13201411340 is 4311410231.

It is a super-2 number, since 2×13201411340² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 4930082 + ... + 4932758.

It is an arithmetic number, because the mean of its divisors is an integer number (417379690).

Almost surely, 2^13201411340 is an apocalyptic number.

13201411340 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 13201411340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15025668840).

13201411340 is an abundant number, since it is smaller than the sum of its proper divisors (16849926340).

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

13201411340 is a wasteful number, since it uses less digits than its factorization.

13201411340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4171 (or 4156 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 13201411340 its reverse (4311410231), we get a palindrome (17512821571).

The spelling of 13201411340 in words is "thirteen billion, two hundred one million, four hundred eleven thousand, three hundred forty".