1353221100 has 576 divisors, whose sum is σ = 5679636480. Its totient is φ = 268012800.

The previous prime is 1353221087. The next prime is 1353221143. The reversal of 1353221100 is 11223531.

1353221100 is a `hidden beast` number, since 13 + 532 + 21 + 100 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4781559 + ... + 4781841.

It is an arithmetic number, because the mean of its divisors is an integer number (9860480).

Almost surely, 2^1353221100 is an apocalyptic number.

1353221100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1353221100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2839818240).

1353221100 is an abundant number, since it is smaller than the sum of its proper divisors (4326415380).

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

1353221100 is a wasteful number, since it uses less digits than its factorization.

1353221100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 1353221100 is about 36786.1536450877. The cubic root of 1353221100 is about 1106.0877613270.

Adding to 1353221100 its reverse (11223531), we get a palindrome (1364444631).

The spelling of 1353221100 in words is "one billion, three hundred fifty-three million, two hundred twenty-one thousand, one hundred".