10444026135013 has 2 divisors, whose sum is σ = 10444026135014. Its totient is φ = 10444026135012.

The previous prime is 10444026134923. The next prime is 10444026135041. The reversal of 10444026135013 is 31053162044401.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9979641129249 + 464385005764 = 3159057^2 + 681458^2 .

It is a cyclic number.

It is not a de Polignac number, because 10444026135013 - 2⁴¹ = 8245002879461 is a prime.

It is a super-3 number, since 3×10444026135013³ (a number of 40 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10444026135013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10444026175013) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5222013067506 + 5222013067507.

It is an arithmetic number, because the mean of its divisors is an integer number (5222013067507).

Almost surely, 2^{10444026135013} is an apocalyptic number.

It is an amenable number.

10444026135013 is a deficient number, since it is larger than the sum of its proper divisors (1).

10444026135013 is an equidigital number, since it uses as much as digits as its factorization.

10444026135013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 34560, while the sum is 34.

Adding to 10444026135013 its reverse (31053162044401), we get a palindrome (41497188179414).

The spelling of 10444026135013 in words is "ten trillion, four hundred forty-four billion, twenty-six million, one hundred thirty-five thousand, thirteen".