2105401312313 has 8 divisors (see below), whose sum is σ = 2267366717448. Its totient is φ = 1943437544064.

The previous prime is 2105401312283. The next prime is 2105401312321. The reversal of 2105401312313 is 3132131045012.

It can be written as a sum of positive squares in 4 ways, for example, as 38097964969 + 2067303347344 = 195187^2 + 1437812^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2105401312313 - 2⁶ = 2105401312249 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2105401312363) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4113731 + ... + 4597127.

It is an arithmetic number, because the mean of its divisors is an integer number (283420839681).

Almost surely, 2^{2105401312313} is an apocalyptic number.

It is an amenable number.

2105401312313 is a deficient number, since it is larger than the sum of its proper divisors (161965405135).

2105401312313 is a wasteful number, since it uses less digits than its factorization.

2105401312313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 818443.

The product of its (nonzero) digits is 2160, while the sum is 26.

Adding to 2105401312313 its reverse (3132131045012), we get a palindrome (5237532357325).

The spelling of 2105401312313 in words is "two trillion, one hundred five billion, four hundred one million, three hundred twelve thousand, three hundred thirteen".