101310112113 has 16 divisors (see below), whose sum is σ = 154473073536. Its totient is φ = 57855582720.

The previous prime is 101310112093. The next prime is 101310112133. The reversal of 101310112113 is 311211013101.

It is an interprime number because it is at equal distance from previous prime (101310112093) and next prime (101310112133).

It is not a de Polignac number, because 101310112113 - 2¹⁶ = 101310046577 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101310112092 and 101310112101.

It is not an unprimeable number, because it can be changed into a prime (101310112133) 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 15 ways as a sum of consecutive naturals, for example, 1461568 + ... + 1529313.

It is an arithmetic number, because the mean of its divisors is an integer number (9654567096).

Almost surely, 2^101310112113 is an apocalyptic number.

It is an amenable number.

101310112113 is a deficient number, since it is larger than the sum of its proper divisors (53162961423).

101310112113 is a wasteful number, since it uses less digits than its factorization.

101310112113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2992504.

The product of its (nonzero) digits is 18, while the sum is 15.

Adding to 101310112113 its reverse (311211013101), we get a palindrome (412521125214).

The spelling of 101310112113 in words is "one hundred one billion, three hundred ten million, one hundred twelve thousand, one hundred thirteen".