101101100101013 has 2 divisors, whose sum is σ = 101101100101014. Its totient is φ = 101101100101012.

The previous prime is 101101100101007. The next prime is 101101100101051. The reversal of 101101100101013 is 310101001101101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 86299975289284 + 14801124811729 = 9289778^2 + 3847223^2 .

It is a cyclic number.

It is not a de Polignac number, because 101101100101013 - 2⁸ = 101101100100757 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101101100100985 and 101101100101003.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101101100101073) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50550550050506 + 50550550050507.

It is an arithmetic number, because the mean of its divisors is an integer number (50550550050507).

Almost surely, 2^{101101100101013} is an apocalyptic number.

It is an amenable number.

101101100101013 is a deficient number, since it is larger than the sum of its proper divisors (1).

101101100101013 is an equidigital number, since it uses as much as digits as its factorization.

101101100101013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3, while the sum is 11.

Adding to 101101100101013 its reverse (310101001101101), we get a palindrome (411202101202114).

The spelling of 101101100101013 in words is "one hundred one trillion, one hundred one billion, one hundred million, one hundred one thousand, thirteen".