221220331413030 has 192 divisors, whose sum is σ = 603217342728000. Its totient is φ = 58325406289920.

The previous prime is 221220331413019. The next prime is 221220331413079. The reversal of 221220331413030 is 30314133022122.

221220331413030 is a `hidden beast` number, since 2 + 2 + 1 + 2 + 20 + 331 + 4 + 1 + 303 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 221220331412985 and 221220331413003.

It is a congruent number.

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, 4965753196 + ... + 4965797744.

It is an arithmetic number, because the mean of its divisors is an integer number (3141756993375).

Almost surely, 2^{221220331413030} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221220331413030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301608671364000).

221220331413030 is an abundant number, since it is smaller than the sum of its proper divisors (381997011314970).

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

221220331413030 is a wasteful number, since it uses less digits than its factorization.

221220331413030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67621 (or 67609 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 221220331413030 its reverse (30314133022122), we get a palindrome (251534464435152).

The spelling of 221220331413030 in words is "two hundred twenty-one trillion, two hundred twenty billion, three hundred thirty-one million, four hundred thirteen thousand, thirty".