101110020010013 has 16 divisors (see below), whose sum is σ = 121948803600000. Its totient is φ = 81893311872192.

The previous prime is 101110020009989. The next prime is 101110020010037. The reversal of 101110020010013 is 310010020011101.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (101110020009989) and next prime (101110020010037).

It is a cyclic number.

It is not a de Polignac number, because 101110020010013 - 2²⁶ = 101109952901149 is a prime.

It is a super-2 number, since 2×101110020010013² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101110020009976 and 101110020010003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101110020010063) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 977102138 + ... + 977205611.

It is an arithmetic number, because the mean of its divisors is an integer number (7621800225000).

Almost surely, 2^{101110020010013} is an apocalyptic number.

It is an amenable number.

101110020010013 is a deficient number, since it is larger than the sum of its proper divisors (20838783589987).

101110020010013 is a wasteful number, since it uses less digits than its factorization.

101110020010013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1954308164.

The product of its (nonzero) digits is 6, while the sum is 11.

Adding to 101110020010013 its reverse (310010020011101), we get a palindrome (411120040021114).

The spelling of 101110020010013 in words is "one hundred one trillion, one hundred ten billion, twenty million, ten thousand, thirteen".