221223301313130 has 256 divisors, whose sum is σ = 623934652723200. Its totient is φ = 55686445056000.

The previous prime is 221223301313111. The next prime is 221223301313207. The reversal of 221223301313130 is 31313103322122.

221223301313130 is a `hidden beast` number, since 2 + 2 + 1 + 2 + 2 + 330 + 1 + 313 + 13 + 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 = 221223301313094 and 221223301313103.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1812219736 + ... + 1812341804.

It is an arithmetic number, because the mean of its divisors is an integer number (2437244737200).

Almost surely, 2^{221223301313130} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221223301313130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311967326361600).

221223301313130 is an abundant number, since it is smaller than the sum of its proper divisors (402711351410070).

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

221223301313130 is a wasteful number, since it uses less digits than its factorization.

221223301313130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127438 (or 127432 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 221223301313130 its reverse (31313103322122), we get a palindrome (252536404635252).

The spelling of 221223301313130 in words is "two hundred twenty-one trillion, two hundred twenty-three billion, three hundred one million, three hundred thirteen thousand, one hundred thirty".