101132210120013 has 12 divisors (see below), whose sum is σ = 146081119586688. Its totient is φ = 67420891632840.

The previous prime is 101132210120003. The next prime is 101132210120023. The reversal of 101132210120013 is 310021012231101.

It is an interprime number because it is at equal distance from previous prime (101132210120003) and next prime (101132210120023).

It is not a de Polignac number, because 101132210120013 - 2²⁰ = 101132209071437 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101132210120003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 47379453 + ... + 49467938.

It is an arithmetic number, because the mean of its divisors is an integer number (12173426632224).

Almost surely, 2^{101132210120013} is an apocalyptic number.

It is an amenable number.

101132210120013 is a deficient number, since it is larger than the sum of its proper divisors (44948909466675).

101132210120013 is a wasteful number, since it uses less digits than its factorization.

101132210120013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96963424 (or 96963421 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 101132210120013 its reverse (310021012231101), we get a palindrome (411153222351114).

The spelling of 101132210120013 in words is "one hundred one trillion, one hundred thirty-two billion, two hundred ten million, one hundred twenty thousand, thirteen".