2101413204313 has 8 divisors (see below), whose sum is σ = 2152686220776. Its totient is φ = 2050141094400.

The previous prime is 2101413204299. The next prime is 2101413204329. The reversal of 2101413204313 is 3134023141012.

It can be written as a sum of positive squares in 4 ways, for example, as 24508528704 + 2076904675609 = 156552^2 + 1441147^2 .

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 2101413204313 - 2³³ = 2092823269721 is a prime.

It is a super-2 number, since 2×2101413204313² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2101413204383) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8760333 + ... + 8997013.

It is an arithmetic number, because the mean of its divisors is an integer number (269085777597).

Almost surely, 2^{2101413204313} is an apocalyptic number.

It is an amenable number.

2101413204313 is a deficient number, since it is larger than the sum of its proper divisors (51273016463).

2101413204313 is a wasteful number, since it uses less digits than its factorization.

2101413204313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 453275.

The product of its (nonzero) digits is 1728, while the sum is 25.

Adding to 2101413204313 its reverse (3134023141012), we get a palindrome (5235436345325).

The spelling of 2101413204313 in words is "two trillion, one hundred one billion, four hundred thirteen million, two hundred four thousand, three hundred thirteen".