413001103000 has 96 divisors (see below), whose sum is σ = 969081010560. Its totient is φ = 164747217600.

The previous prime is 413001102961. The next prime is 413001103007. The reversal of 413001103000 is 301100314.

It is a super-2 number, since 2×413001103000² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413001103007) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 192719929 + ... + 192722071.

It is an arithmetic number, because the mean of its divisors is an integer number (10094593860).

Almost surely, 2^413001103000 is an apocalyptic number.

413001103000 is a gapful number since it is divisible by the number (40) 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 413001103000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (484540505280).

413001103000 is an abundant number, since it is smaller than the sum of its proper divisors (556079907560).

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

413001103000 is an equidigital number, since it uses as much as digits as its factorization.

413001103000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3042 (or 2589 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 413001103000 its reverse (301100314), we get a palindrome (413302203314).

The spelling of 413001103000 in words is "four hundred thirteen billion, one million, one hundred three thousand".