10332313313 has 12 divisors (see below), whose sum is σ = 12125592900. Its totient is φ = 8777889792.

The previous prime is 10332313279. The next prime is 10332313337. The reversal of 10332313313 is 31331323301.

It can be written as a sum of positive squares in 2 ways, for example, as 194239969 + 10138073344 = 13937^2 + 100688^2 .

It is not a de Polignac number, because 10332313313 - 2¹² = 10332309217 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10332313393) 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 11 ways as a sum of consecutive naturals, for example, 927488 + ... + 938561.

It is an arithmetic number, because the mean of its divisors is an integer number (1010466075).

Almost surely, 2^10332313313 is an apocalyptic number.

It is an amenable number.

10332313313 is a deficient number, since it is larger than the sum of its proper divisors (1793279587).

10332313313 is a wasteful number, since it uses less digits than its factorization.

10332313313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1866176 (or 1866169 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 23.

Adding to 10332313313 its reverse (31331323301), we get a palindrome (41663636614).

The spelling of 10332313313 in words is "ten billion, three hundred thirty-two million, three hundred thirteen thousand, three hundred thirteen".