413244101331300 has 288 divisors, whose sum is σ = 1314835285155840. Its totient is φ = 99788937267200.

The previous prime is 413244101331289. The next prime is 413244101331331. The reversal of 413244101331300 is 3133101442314.

It is a super-2 number, since 2×413244101331300² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 467916 + ... + 28752515.

It is an arithmetic number, because the mean of its divisors is an integer number (4565400295680).

Almost surely, 2^{413244101331300} 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 413244101331300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (657417642577920).

413244101331300 is an abundant number, since it is smaller than the sum of its proper divisors (901591183824540).

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

413244101331300 is a wasteful number, since it uses less digits than its factorization.

413244101331300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29220571 (or 29220564 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

Adding to 413244101331300 its reverse (3133101442314), we get a palindrome (416377202773614).

The spelling of 413244101331300 in words is "four hundred thirteen trillion, two hundred forty-four billion, one hundred one million, three hundred thirty-one thousand, three hundred".