1305352221030 has 192 divisors, whose sum is σ = 3994073411328. Its totient is φ = 291607476480.

The previous prime is 1305352221029. The next prime is 1305352221031. The reversal of 1305352221030 is 301222535031.

It is a happy number.

1305352221030 is a `hidden beast` number, since 1 + 3 + 0 + 535 + 2 + 22 + 103 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1305352221029) and next prime (1305352221031).

It is a junction number, because it is equal to n+sod(n) for n = 1305352220985 and 1305352221003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1305352221031) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7468297 + ... + 7641083.

It is an arithmetic number, because the mean of its divisors is an integer number (20802465684).

Almost surely, 2^{1305352221030} is an apocalyptic number.

1305352221030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1305352221030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1997036705664).

1305352221030 is an abundant number, since it is smaller than the sum of its proper divisors (2688721190298).

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

1305352221030 is a wasteful number, since it uses less digits than its factorization.

1305352221030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173411 (or 173408 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

Adding to 1305352221030 its reverse (301222535031), we get a palindrome (1606574756061).

The spelling of 1305352221030 in words is "one trillion, three hundred five billion, three hundred fifty-two million, two hundred twenty-one thousand, thirty".