13024334431000 has 64 divisors (see below), whose sum is σ = 30478736508480. Its totient is φ = 5209427116800.

The previous prime is 13024334430983. The next prime is 13024334431001. The reversal of 13024334431000 is 13443342031.

It is a super-2 number, since 2×13024334431000² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 13024334431000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13024334431001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17008372 + ... + 17757628.

It is an arithmetic number, because the mean of its divisors is an integer number (476230257945).

Almost surely, 2^{13024334431000} is an apocalyptic number.

13024334431000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13024334431000 is an abundant number, since it is smaller than the sum of its proper divisors (17454402077480).

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

13024334431000 is a wasteful number, since it uses less digits than its factorization.

13024334431000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 766661 (or 766647 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

Adding to 13024334431000 its reverse (13443342031), we get a palindrome (13037777773031).

The spelling of 13024334431000 in words is "thirteen trillion, twenty-four billion, three hundred thirty-four million, four hundred thirty-one thousand".