13000432100313 has 8 divisors (see below), whose sum is σ = 19810182248128. Its totient is φ = 7428818343024.

The previous prime is 13000432100263. The next prime is 13000432100317. The reversal of 13000432100313 is 31300123400031.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 13000432100313 - 2⁸ = 13000432100057 is a prime.

It is a super-2 number, since 2×13000432100313² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21), and also a Moran number because the ratio is a prime number: 619068195253 = 13000432100313 / (1 + 3 + 0 + 0 + 0 + 4 + 3 + 2 + 1 + 0 + 0 + 3 + 1 + 3).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 13000432100313.

It is not an unprimeable number, because it can be changed into a prime (13000432100317) 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 7 ways as a sum of consecutive naturals, for example, 309534097606 + ... + 309534097647.

It is an arithmetic number, because the mean of its divisors is an integer number (2476272781016).

Almost surely, 2^{13000432100313} is an apocalyptic number.

It is an amenable number.

13000432100313 is a deficient number, since it is larger than the sum of its proper divisors (6809750147815).

13000432100313 is an equidigital number, since it uses as much as digits as its factorization.

13000432100313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 619068195263.

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 13000432100313 its reverse (31300123400031), we get a palindrome (44300555500344).

The spelling of 13000432100313 in words is "thirteen trillion, four hundred thirty-two million, one hundred thousand, three hundred thirteen".