1302312323313 has 6 divisors (see below), whose sum is σ = 1881117800354. Its totient is φ = 868208215536.

The previous prime is 1302312323281. The next prime is 1302312323341. The reversal of 1302312323313 is 3133232132031.

1302312323313 is a `hidden beast` number, since 1 + 3 + 0 + 2 + 312 + 32 + 3 + 313 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1292659850304 + 9652473009 = 1136952^2 + 98247^2 .

It is not a de Polignac number, because 1302312323313 - 2⁵ = 1302312323281 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1302312323353) 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 5 ways as a sum of consecutive naturals, for example, 72350684620 + ... + 72350684637.

Almost surely, 2^{1302312323313} is an apocalyptic number.

It is an amenable number.

1302312323313 is a deficient number, since it is larger than the sum of its proper divisors (578805477041).

1302312323313 is a wasteful number, since it uses less digits than its factorization.

1302312323313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144701369263 (or 144701369260 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 1302312323313 its reverse (3133232132031), we get a palindrome (4435544455344).

It can be divided in two parts, 1302312 and 323313, that added together give a square (1625625 = 1275²).

The spelling of 1302312323313 in words is "one trillion, three hundred two billion, three hundred twelve million, three hundred twenty-three thousand, three hundred thirteen".