10101132113 has 4 divisors (see below), whose sum is σ = 10138683060. Its totient is φ = 10063581168.

The previous prime is 10101132073. The next prime is 10101132143. The reversal of 10101132113 is 31123110101.

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 6103984384 + 3997147729 = 78128^2 + 63223^2 .

It is a cyclic number.

It is not a de Polignac number, because 10101132113 - 2²⁴ = 10084354897 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10101132143) 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, 18775070 + ... + 18775607.

It is an arithmetic number, because the mean of its divisors is an integer number (2534670765).

Almost surely, 2^10101132113 is an apocalyptic number.

It is an amenable number.

10101132113 is a deficient number, since it is larger than the sum of its proper divisors (37550947).

10101132113 is an equidigital number, since it uses as much as digits as its factorization.

10101132113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37550946.

The product of its (nonzero) digits is 18, while the sum is 14.

Adding to 10101132113 its reverse (31123110101), we get a palindrome (41224242214).

The spelling of 10101132113 in words is "ten billion, one hundred one million, one hundred thirty-two thousand, one hundred thirteen".