13331100420 has 192 divisors, whose sum is σ = 45647642880. Its totient is φ = 3203020800.

The previous prime is 13331100401. The next prime is 13331100439. The reversal of 13331100420 is 2400113331.

13331100420 is a `hidden beast` number, since 133 + 3 + 110 + 0 + 420 = 666.

It is an interprime number because it is at equal distance from previous prime (13331100401) and next prime (13331100439).

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 = 13331100393 and 13331100402.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 661290 + ... + 681150.

It is an arithmetic number, because the mean of its divisors is an integer number (237748140).

Almost surely, 2^13331100420 is an apocalyptic number.

13331100420 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 13331100420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22823821440).

13331100420 is an abundant number, since it is smaller than the sum of its proper divisors (32316542460).

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

13331100420 is a wasteful number, since it uses less digits than its factorization.

13331100420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20003 (or 19995 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 13331100420 its reverse (2400113331), we get a palindrome (15731213751).

The spelling of 13331100420 in words is "thirteen billion, three hundred thirty-one million, one hundred thousand, four hundred twenty".