420013102320 has 120 divisors (see below), whose sum is σ = 1612050307296. Its totient is φ = 96002993664.

The previous prime is 420013102303. The next prime is 420013102321. The reversal of 420013102320 is 23201310024.

420013102320 is a `hidden beast` number, since 420 + 0 + 1 + 3 + 10 + 232 + 0 = 666.

420013102320 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×420013102320² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 420013102293 and 420013102302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420013102321) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41662927 + ... + 41673006.

Almost surely, 2^420013102320 is an apocalyptic number.

420013102320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

420013102320 is an abundant number, since it is smaller than the sum of its proper divisors (1192037204976).

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

420013102320 is a wasteful number, since it uses less digits than its factorization.

420013102320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83335959 (or 83335950 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 420013102320 its reverse (23201310024), we get a palindrome (443214412344).

The spelling of 420013102320 in words is "four hundred twenty billion, thirteen million, one hundred two thousand, three hundred twenty".