14401032002513 has 16 divisors (see below), whose sum is σ = 15935332345296. Its totient is φ = 12927996887040.

The previous prime is 14401032002477. The next prime is 14401032002551. The reversal of 14401032002513 is 31520023010441.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 1803025901824 + 12598006100689 = 1342768^2 + 3549367^2 .

It is a cyclic number.

It is not a de Polignac number, because 14401032002513 - 2¹⁴ = 14401031986129 is a prime.

It is not an unprimeable number, because it can be changed into a prime (14401032002563) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 5887856 + ... + 7966737.

It is an arithmetic number, because the mean of its divisors is an integer number (995958271581).

Almost surely, 2^{14401032002513} is an apocalyptic number.

14401032002513 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

14401032002513 is a deficient number, since it is larger than the sum of its proper divisors (1534300342783).

14401032002513 is a wasteful number, since it uses less digits than its factorization.

14401032002513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13856804.

The product of its (nonzero) digits is 2880, while the sum is 26.

Adding to 14401032002513 its reverse (31520023010441), we get a palindrome (45921055012954).

The spelling of 14401032002513 in words is "fourteen trillion, four hundred one billion, thirty-two million, two thousand, five hundred thirteen".