101312032113 has 6 divisors (see below), whose sum is σ = 146339601954. Its totient is φ = 67541354736.

The previous prime is 101312032109. The next prime is 101312032169. The reversal of 101312032113 is 311230213101.

It can be written as a sum of positive squares in only one way, i.e., 91643636529 + 9668395584 = 302727^2 + 98328^2 .

It is not a de Polignac number, because 101312032113 - 2² = 101312032109 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101312033113) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5628446220 + ... + 5628446237.

It is an arithmetic number, because the mean of its divisors is an integer number (24389933659).

Almost surely, 2^101312032113 is an apocalyptic number.

It is an amenable number.

101312032113 is a deficient number, since it is larger than the sum of its proper divisors (45027569841).

101312032113 is a wasteful number, since it uses less digits than its factorization.

101312032113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11256892463 (or 11256892460 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 101312032113 its reverse (311230213101), we get a palindrome (412542245214).

The spelling of 101312032113 in words is "one hundred one billion, three hundred twelve million, thirty-two thousand, one hundred thirteen".