13022100312313 has 4 divisors (see below), whose sum is σ = 13022185351680. Its totient is φ = 13022015272948.

The previous prime is 13022100312283. The next prime is 13022100312323. The reversal of 13022100312313 is 31321300122031.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 13022100312313 - 2¹³ = 13022100304121 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13022100312323) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 42289573 + ... + 42596386.

It is an arithmetic number, because the mean of its divisors is an integer number (3255546337920).

Almost surely, 2^{13022100312313} is an apocalyptic number.

It is an amenable number.

13022100312313 is a deficient number, since it is larger than the sum of its proper divisors (85039367).

13022100312313 is an equidigital number, since it uses as much as digits as its factorization.

13022100312313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85039366.

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 13022100312313 its reverse (31321300122031), we get a palindrome (44343400434344).

The spelling of 13022100312313 in words is "thirteen trillion, twenty-two billion, one hundred million, three hundred twelve thousand, three hundred thirteen".