101000505113 has 2 divisors, whose sum is σ = 101000505114. Its totient is φ = 101000505112.

The previous prime is 101000505103. The next prime is 101000505119. The reversal of 101000505113 is 311505000101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 56087027929 + 44913477184 = 236827^2 + 211928^2 .

It is a cyclic number.

It is not a de Polignac number, because 101000505113 - 2³⁴ = 83820635929 is a prime.

It is a super-2 number, since 2×101000505113² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101000505091 and 101000505100.

It is not a weakly prime, because it can be changed into another prime (101000505119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50500252556 + 50500252557.

It is an arithmetic number, because the mean of its divisors is an integer number (50500252557).

Almost surely, 2^101000505113 is an apocalyptic number.

It is an amenable number.

101000505113 is a deficient number, since it is larger than the sum of its proper divisors (1).

101000505113 is an equidigital number, since it uses as much as digits as its factorization.

101000505113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 75, while the sum is 17.

Adding to 101000505113 its reverse (311505000101), we get a palindrome (412505505214).

The spelling of 101000505113 in words is "one hundred one billion, five hundred five thousand, one hundred thirteen".