1313553123601 has 8 divisors (see below), whose sum is σ = 1349080696040. Its totient is φ = 1278026926848.

The previous prime is 1313553123551. The next prime is 1313553123637. The reversal of 1313553123601 is 1063213553131.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 510738915600 + 802814208001 = 714660^2 + 895999^2 .

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 1313553123601 - 2¹³ = 1313553115409 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1313553123101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1763935 + ... + 2395531.

It is an arithmetic number, because the mean of its divisors is an integer number (168635087005).

Almost surely, 2^{1313553123601} is an apocalyptic number.

It is an amenable number.

1313553123601 is a deficient number, since it is larger than the sum of its proper divisors (35527572439).

1313553123601 is an equidigital number, since it uses as much as digits as its factorization.

1313553123601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 687843.

The product of its (nonzero) digits is 24300, while the sum is 34.

Adding to 1313553123601 its reverse (1063213553131), we get a palindrome (2376766676732).

The spelling of 1313553123601 in words is "one trillion, three hundred thirteen billion, five hundred fifty-three million, one hundred twenty-three thousand, six hundred one".