13411021000 has 128 divisors (see below), whose sum is σ = 34962127200. Its totient is φ = 4780876800.

The previous prime is 13411020991. The next prime is 13411021027. The reversal of 13411021000 is 12011431.

It can be written as a sum of positive squares in 16 ways, for example, as 4039619364 + 9371401636 = 63558^2 + 96806^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 359214 + ... + 394786.

Almost surely, 2^13411021000 is an apocalyptic number.

13411021000 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 13411021000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17481063600).

13411021000 is an abundant number, since it is smaller than the sum of its proper divisors (21551106200).

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

13411021000 is a wasteful number, since it uses less digits than its factorization.

13411021000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35636 (or 35622 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 13411021000 its reverse (12011431), we get a palindrome (13423032431).

The spelling of 13411021000 in words is "thirteen billion, four hundred eleven million, twenty-one thousand".