13301141420 has 96 divisors (see below), whose sum is σ = 32433924096. Its totient is φ = 4487616000.

The previous prime is 13301141407. The next prime is 13301141467. The reversal of 13301141420 is 2414110331.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 13301141392 and 13301141401.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 7384520 + ... + 7386320.

It is an arithmetic number, because the mean of its divisors is an integer number (337853376).

Almost surely, 2^13301141420 is an apocalyptic number.

13301141420 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 13301141420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16216962048).

13301141420 is an abundant number, since it is smaller than the sum of its proper divisors (19132782676).

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

13301141420 is a wasteful number, since it uses less digits than its factorization.

13301141420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2631 (or 2629 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 13301141420 its reverse (2414110331), we get a palindrome (15715251751).

The spelling of 13301141420 in words is "thirteen billion, three hundred one million, one hundred forty-one thousand, four hundred twenty".