1302313312313 has 32 divisors (see below), whose sum is σ = 1489912220160. Its totient is φ = 1129708097280.

The previous prime is 1302313312159. The next prime is 1302313312369. The reversal of 1302313312313 is 3132133132031.

It is a cyclic number.

It is not a de Polignac number, because 1302313312313 - 2⁸ = 1302313312057 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1302313312373) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3004106 + ... + 3410172.

It is an arithmetic number, because the mean of its divisors is an integer number (46559756880).

Almost surely, 2^{1302313312313} is an apocalyptic number.

1302313312313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1302313312313 is a deficient number, since it is larger than the sum of its proper divisors (187598907847).

1302313312313 is a wasteful number, since it uses less digits than its factorization.

1302313312313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406337.

The product of its (nonzero) digits is 2916, while the sum is 26.

Adding to 1302313312313 its reverse (3132133132031), we get a palindrome (4434446444344).

The spelling of 1302313312313 in words is "one trillion, three hundred two billion, three hundred thirteen million, three hundred twelve thousand, three hundred thirteen".