13005411000 has 64 divisors (see below), whose sum is σ = 40576891680. Its totient is φ = 3468108800.

The previous prime is 13005410993. The next prime is 13005411007. The reversal of 13005411000 is 11450031.

13005411000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13005410993) and next prime (13005411007).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13005411007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2164569 + ... + 2170568.

Almost surely, 2^13005411000 is an apocalyptic number.

13005411000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13005411000 is an abundant number, since it is smaller than the sum of its proper divisors (27571480680).

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

13005411000 is a wasteful number, since it uses less digits than its factorization.

13005411000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4335161 (or 4335147 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

Adding to 13005411000 its reverse (11450031), we get a palindrome (13016861031).

The spelling of 13005411000 in words is "thirteen billion, five million, four hundred eleven thousand".