101011111103113 has 4 divisors (see below), whose sum is σ = 106952941168020. Its totient is φ = 95069281038208.

The previous prime is 101011111103057. The next prime is 101011111103137. The reversal of 101011111103113 is 311301111110101.

It is a happy number.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 76444298157049 + 24566812946064 = 8743243^2 + 4956492^2 .

It is a cyclic number.

It is not a de Polignac number, because 101011111103113 - 2²⁹ = 101010574232201 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101011111103213) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2970915032428 + ... + 2970915032461.

It is an arithmetic number, because the mean of its divisors is an integer number (26738235292005).

Almost surely, 2^{101011111103113} is an apocalyptic number.

It is an amenable number.

101011111103113 is a deficient number, since it is larger than the sum of its proper divisors (5941830064907).

101011111103113 is an equidigital number, since it uses as much as digits as its factorization.

101011111103113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5941830064906.

The product of its (nonzero) digits is 9, while the sum is 16.

Adding to 101011111103113 its reverse (311301111110101), we get a palindrome (412312222213214).

The spelling of 101011111103113 in words is "one hundred one trillion, eleven billion, one hundred eleven million, one hundred three thousand, one hundred thirteen".