101300113420 has 72 divisors (see below), whose sum is σ = 236143144944. Its totient is φ = 36471600000.

The previous prime is 101300113403. The next prime is 101300113427. The reversal of 101300113420 is 24311003101.

It is a junction number, because it is equal to n+sod(n) for n = 101300113394 and 101300113403.

It is not an unprimeable number, because it can be changed into a prime (101300113427) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37195 + ... + 451645.

It is an arithmetic number, because the mean of its divisors is an integer number (3279765902).

Almost surely, 2^101300113420 is an apocalyptic number.

101300113420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101300113420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118071572472).

101300113420 is an abundant number, since it is smaller than the sum of its proper divisors (134843031524).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101300113420 is a wasteful number, since it uses less digits than its factorization.

101300113420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414583 (or 414570 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 101300113420 its reverse (24311003101), we get a palindrome (125611116521).

The spelling of 101300113420 in words is "one hundred one billion, three hundred million, one hundred thirteen thousand, four hundred twenty".