13333120101313 has 16 divisors (see below), whose sum is σ = 14266095278400. Its totient is φ = 12424738867200.

The previous prime is 13333120101311. The next prime is 13333120101337. The reversal of 13333120101313 is 31310102133331.

It is a cyclic number.

It is not a de Polignac number, because 13333120101313 - 2¹ = 13333120101311 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13333120101311) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20100463 + ... + 20753188.

It is an arithmetic number, because the mean of its divisors is an integer number (891630954900).

Almost surely, 2^{13333120101313} is an apocalyptic number.

It is an amenable number.

13333120101313 is a deficient number, since it is larger than the sum of its proper divisors (932975177087).

13333120101313 is a wasteful number, since it uses less digits than its factorization.

13333120101313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40853952.

The product of its (nonzero) digits is 1458, while the sum is 25.

Adding to 13333120101313 its reverse (31310102133331), we get a palindrome (44643222234644).

The spelling of 13333120101313 in words is "thirteen trillion, three hundred thirty-three billion, one hundred twenty million, one hundred one thousand, three hundred thirteen".