13101321131213 has 12 divisors (see below), whose sum is σ = 15241571620380. Its totient is φ = 11228775933312.

The previous prime is 13101321131209. The next prime is 13101321131231. The reversal of 13101321131213 is 31213112310131.

It can be written as a sum of positive squares in 2 ways, for example, as 12865686613129 + 235634518084 = 3586877^2 + 485422^2 .

It is not a de Polignac number, because 13101321131213 - 2² = 13101321131209 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13101321131243) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10446956 + ... + 11633637.

It is an arithmetic number, because the mean of its divisors is an integer number (1270130968365).

Almost surely, 2^{13101321131213} is an apocalyptic number.

It is an amenable number.

13101321131213 is a deficient number, since it is larger than the sum of its proper divisors (2140250489167).

13101321131213 is a wasteful number, since it uses less digits than its factorization.

13101321131213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22092716 (or 22092709 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 23.

Adding to 13101321131213 its reverse (31213112310131), we get a palindrome (44314433441344).

The spelling of 13101321131213 in words is "thirteen trillion, one hundred one billion, three hundred twenty-one million, one hundred thirty-one thousand, two hundred thirteen".