13024431420 has 384 divisors, whose sum is σ = 50296522752. Its totient is φ = 2430259200.

The previous prime is 13024431401. The next prime is 13024431449. The reversal of 13024431420 is 2413442031.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2219290 + ... + 2225150.

It is an arithmetic number, because the mean of its divisors is an integer number (130980528).

Almost surely, 2^13024431420 is an apocalyptic number.

13024431420 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 13024431420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25148261376).

13024431420 is an abundant number, since it is smaller than the sum of its proper divisors (37272091332).

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

13024431420 is a wasteful number, since it uses less digits than its factorization.

13024431420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5941 (or 5939 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 13024431420 its reverse (2413442031), we get a palindrome (15437873451).

It can be divided in two parts, 13024 and 431420, that added together give a palindrome (444444).

The spelling of 13024431420 in words is "thirteen billion, twenty-four million, four hundred thirty-one thousand, four hundred twenty".