13201201141311 has 32 divisors (see below), whose sum is σ = 19436854694400. Its totient is φ = 7936715525760.

The previous prime is 13201201141277. The next prime is 13201201141313. The reversal of 13201201141311 is 11314110210231.

It is a happy number.

13201201141311 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13201201141311 - 2¹³ = 13201201133119 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13201201141313) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 56123536 + ... + 56358261.

It is an arithmetic number, because the mean of its divisors is an integer number (607401709200).

Almost surely, 2^{13201201141311} is an apocalyptic number.

13201201141311 is a deficient number, since it is larger than the sum of its proper divisors (6235653553089).

13201201141311 is a wasteful number, since it uses less digits than its factorization.

13201201141311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112481919.

The product of its (nonzero) digits is 144, while the sum is 21.

Adding to 13201201141311 its reverse (11314110210231), we get a palindrome (24515311351542).

The spelling of 13201201141311 in words is "thirteen trillion, two hundred one billion, two hundred one million, one hundred forty-one thousand, three hundred eleven".