101312101124113 has 8 divisors (see below), whose sum is σ = 110522666469600. Its totient is φ = 92101598167680.

The previous prime is 101312101124099. The next prime is 101312101124147. The reversal of 101312101124113 is 311421101213101.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 101312101124113 - 2⁹ = 101312101123601 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101312101124153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12169120 + ... + 18727297.

It is an arithmetic number, because the mean of its divisors is an integer number (13815333308700).

Almost surely, 2^{101312101124113} is an apocalyptic number.

It is an amenable number.

101312101124113 is a deficient number, since it is larger than the sum of its proper divisors (9210565345487).

101312101124113 is a wasteful number, since it uses less digits than its factorization.

101312101124113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31194527.

The product of its (nonzero) digits is 144, while the sum is 22.

Adding to 101312101124113 its reverse (311421101213101), we get a palindrome (412733202337214).

The spelling of 101312101124113 in words is "one hundred one trillion, three hundred twelve billion, one hundred one million, one hundred twenty-four thousand, one hundred thirteen".