413222223313000 has 32 divisors (see below), whose sum is σ = 966940002554760. Its totient is φ = 165288889324800.

The previous prime is 413222223312991. The next prime is 413222223313037. The reversal of 413222223313000 is 313322222314.

It can be written as a sum of positive squares in 4 ways, for example, as 26213314571236 + 387008908741764 = 5119894^2 + 19672542^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 413222223313000.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 206611110657 + ... + 206611112656.

Almost surely, 2^{413222223313000} is an apocalyptic number.

413222223313000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

413222223313000 is an abundant number, since it is smaller than the sum of its proper divisors (553717779241760).

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

413222223313000 is a wasteful number, since it uses less digits than its factorization.

413222223313000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 413222223334 (or 413222223320 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

Adding to 413222223313000 its reverse (313322222314), we get a palindrome (413535545535314).

The spelling of 413222223313000 in words is "four hundred thirteen trillion, two hundred twenty-two billion, two hundred twenty-three million, three hundred thirteen thousand".