413303133100 has 144 divisors (see below), whose sum is σ = 1056112092000. Its totient is φ = 138408652800.

The previous prime is 413303133079. The next prime is 413303133107. The reversal of 413303133100 is 1331303314.

It is a super-2 number, since 2×413303133100² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (413303133107) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6158526 + ... + 6225274.

It is an arithmetic number, because the mean of its divisors is an integer number (7334111750).

Almost surely, 2^413303133100 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 413303133100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (528056046000).

413303133100 is an abundant number, since it is smaller than the sum of its proper divisors (642808958900).

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

413303133100 is a wasteful number, since it uses less digits than its factorization.

413303133100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67220 (or 67213 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 22.

Adding to 413303133100 its reverse (1331303314), we get a palindrome (414634436414).

The spelling of 413303133100 in words is "four hundred thirteen billion, three hundred three million, one hundred thirty-three thousand, one hundred".