413321031213210 has 80 divisors (see below), whose sum is σ = 1115947885811616. Its totient is φ = 110218941604368.

The previous prime is 413321031213199. The next prime is 413321031213217. The reversal of 413321031213210 is 12312130123314.

413321031213210 is a `hidden beast` number, since 4 + 1 + 3 + 3 + 21 + 0 + 312 + 1 + 321 + 0 = 666.

It is a super-3 number, since 3×413321031213210³ (a number of 45 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (413321031213217) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1049747364 + ... + 1050141023.

Almost surely, 2^{413321031213210} is an apocalyptic number.

413321031213210 is an abundant number, since it is smaller than the sum of its proper divisors (702626854598406).

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

413321031213210 is an frugal number, since it uses more digits than its factorization.

413321031213210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2099888421 (or 2099888397 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 413321031213210 its reverse (12312130123314), we get a palindrome (425633161336524).

The spelling of 413321031213210 in words is "four hundred thirteen trillion, three hundred twenty-one billion, thirty-one million, two hundred thirteen thousand, two hundred ten".