10056105000013 has 2 divisors, whose sum is σ = 10056105000014. Its totient is φ = 10056105000012.

The previous prime is 10056104999989. The next prime is 10056105000023. The reversal of 10056105000013 is 31000050165001.

10056105000013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6437272203684 + 3618832796329 = 2537178^2 + 1902323^2 .

It is a cyclic number.

It is not a de Polignac number, because 10056105000013 - 2⁵ = 10056104999981 is a prime.

It is a super-2 number, since 2×10056105000013² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10056105000023) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5028052500006 + 5028052500007.

It is an arithmetic number, because the mean of its divisors is an integer number (5028052500007).

Almost surely, 2^{10056105000013} is an apocalyptic number.

It is an amenable number.

10056105000013 is a deficient number, since it is larger than the sum of its proper divisors (1).

10056105000013 is an equidigital number, since it uses as much as digits as its factorization.

10056105000013 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 10056105000013 its reverse (31000050165001), we get a palindrome (41056155165014).

The spelling of 10056105000013 in words is "ten trillion, fifty-six billion, one hundred five million, thirteen", and thus it is an aban number.