10310301313 has 16 divisors (see below), whose sum is σ = 11357443216. Its totient is φ = 9301443840.

The previous prime is 10310301301. The next prime is 10310301317. The reversal of 10310301313 is 31310301301.

It can be written as a sum of positive squares in 8 ways, for example, as 2247518464 + 8062782849 = 47408^2 + 89793^2 .

It is a de Polignac number, because none of the positive numbers 2^k-10310301313 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10310301317) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 83095 + ... + 165907.

It is an arithmetic number, because the mean of its divisors is an integer number (709840201).

Almost surely, 2^10310301313 is an apocalyptic number.

10310301313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10310301313 is a deficient number, since it is larger than the sum of its proper divisors (1047141903).

10310301313 is a wasteful number, since it uses less digits than its factorization.

10310301313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83044.

The product of its (nonzero) digits is 81, while the sum is 16.

Adding to 10310301313 its reverse (31310301301), we get a palindrome (41620602614).

The spelling of 10310301313 in words is "ten billion, three hundred ten million, three hundred one thousand, three hundred thirteen".