10431344313 has 36 divisors (see below), whose sum is σ = 17237240748. Its totient is φ = 6041664000.

The previous prime is 10431344311. The next prime is 10431344327. The reversal of 10431344313 is 31344313401.

10431344313 is a `hidden beast` number, since 1 + 0 + 4 + 3 + 1 + 344 + 313 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 1339340409 + 9092003904 = 36597^2 + 95352^2 .

It is not a de Polignac number, because 10431344313 - 2¹ = 10431344311 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10431344311) 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 35 ways as a sum of consecutive naturals, for example, 120438 + ... + 188063.

It is an arithmetic number, because the mean of its divisors is an integer number (478812243).

Almost surely, 2^10431344313 is an apocalyptic number.

10431344313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10431344313 is a deficient number, since it is larger than the sum of its proper divisors (6805896435).

10431344313 is a wasteful number, since it uses less digits than its factorization.

10431344313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308554 (or 308534 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 10431344313 its reverse (31344313401), we get a palindrome (41775657714).

The spelling of 10431344313 in words is "ten billion, four hundred thirty-one million, three hundred forty-four thousand, three hundred thirteen".