413033101020 has 192 divisors, whose sum is σ = 1345129390080. Its totient is φ = 105087628800.

The previous prime is 413033101001. The next prime is 413033101027. The reversal of 413033101020 is 20101330314.

413033101020 is a `hidden beast` number, since 41 + 303 + 310 + 10 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 413033100984 and 413033101002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413033101027) 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 63 ways as a sum of consecutive naturals, for example, 1014784 + ... + 1362296.

It is an arithmetic number, because the mean of its divisors is an integer number (7005882240).

Almost surely, 2^413033101020 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 413033101020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (672564695040).

413033101020 is an abundant number, since it is smaller than the sum of its proper divisors (932096289060).

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

413033101020 is a wasteful number, since it uses less digits than its factorization.

413033101020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347633 (or 347625 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 413033101020 its reverse (20101330314), we get a palindrome (433134431334).

The spelling of 413033101020 in words is "four hundred thirteen billion, thirty-three million, one hundred one thousand, twenty".