105141141555013 has 2 divisors, whose sum is σ = 105141141555014. Its totient is φ = 105141141555012.

The previous prime is 105141141554993. The next prime is 105141141555031. The reversal of 105141141555013 is 310555141141501.

Together with next prime (105141141555031) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 66255416106049 + 38885725448964 = 8139743^2 + 6235842^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-105141141555013 is a prime.

It is a super-2 number, since 2×105141141555013² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105141141555313) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52570570777506 + 52570570777507.

It is an arithmetic number, because the mean of its divisors is an integer number (52570570777507).

Almost surely, 2^{105141141555013} is an apocalyptic number.

It is an amenable number.

105141141555013 is a deficient number, since it is larger than the sum of its proper divisors (1).

105141141555013 is an equidigital number, since it uses as much as digits as its factorization.

105141141555013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 30000, while the sum is 37.

Adding to 105141141555013 its reverse (310555141141501), we get a palindrome (415696282696514).

The spelling of 105141141555013 in words is "one hundred five trillion, one hundred forty-one billion, one hundred forty-one million, five hundred fifty-five thousand, thirteen".