10105505006013 has 12 divisors (see below), whose sum is σ = 15365095331040. Its totient is φ = 6382424214216.

The previous prime is 10105505006011. The next prime is 10105505006053. The reversal of 10105505006013 is 31060050550101.

10105505006013 is a `hidden beast` number, since 1 + 0 + 1 + 0 + 5 + 5 + 0 + 50 + 0 + 601 + 3 = 666.

It is not a de Polignac number, because 10105505006013 - 2¹ = 10105505006011 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10105505006011) 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, 29548260081 + ... + 29548260422.

It is an arithmetic number, because the mean of its divisors is an integer number (1280424610920).

Almost surely, 2^{10105505006013} is an apocalyptic number.

It is an amenable number.

10105505006013 is a deficient number, since it is larger than the sum of its proper divisors (5259590325027).

10105505006013 is a wasteful number, since it uses less digits than its factorization.

10105505006013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59096520528 (or 59096520525 counting only the distinct ones).

The product of its (nonzero) digits is 2250, while the sum is 27.

Adding to 10105505006013 its reverse (31060050550101), we get a palindrome (41165555556114).

The spelling of 10105505006013 in words is "ten trillion, one hundred five billion, five hundred five million, six thousand, thirteen".