105010056013 has 2 divisors, whose sum is σ = 105010056014. Its totient is φ = 105010056012.

The previous prime is 105010056001. The next prime is 105010056043. The reversal of 105010056013 is 310650010501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 94213391364 + 10796664649 = 306942^2 + 103907^2 .

It is a cyclic number.

It is not a de Polignac number, because 105010056013 - 2¹⁷ = 105009924941 is a prime.

It is a super-2 number, since 2×105010056013² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105010056043) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52505028006 + 52505028007.

It is an arithmetic number, because the mean of its divisors is an integer number (52505028007).

Almost surely, 2^105010056013 is an apocalyptic number.

It is an amenable number.

105010056013 is a deficient number, since it is larger than the sum of its proper divisors (1).

105010056013 is an equidigital number, since it uses as much as digits as its factorization.

105010056013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 450, while the sum is 22.

Adding to 105010056013 its reverse (310650010501), we get a palindrome (415660066514).

The spelling of 105010056013 in words is "one hundred five billion, ten million, fifty-six thousand, thirteen".