10440310433013 has 12 divisors (see below), whose sum is σ = 15181659468300. Its totient is φ = 6913494156096.

The previous prime is 10440310433009. The next prime is 10440310433053. The reversal of 10440310433013 is 31033401304401.

10440310433013 is a `hidden beast` number, since 1 + 0 + 4 + 4 + 0 + 310 + 4 + 330 + 13 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2026702446129 + 8413607986884 = 1423623^2 + 2900622^2 .

It is not a de Polignac number, because 10440310433013 - 2² = 10440310433009 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10440310433053) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3892731856 + ... + 3892734537.

It is an arithmetic number, because the mean of its divisors is an integer number (1265138289025).

Almost surely, 2^{10440310433013} is an apocalyptic number.

It is an amenable number.

10440310433013 is a deficient number, since it is larger than the sum of its proper divisors (4741349035287).

10440310433013 is a wasteful number, since it uses less digits than its factorization.

10440310433013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7785466548 (or 7785466545 counting only the distinct ones).

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

Adding to 10440310433013 its reverse (31033401304401), we get a palindrome (41473711737414).

The spelling of 10440310433013 in words is "ten trillion, four hundred forty billion, three hundred ten million, four hundred thirty-three thousand, thirteen".