1101306330 has 96 divisors (see below), whose sum is σ = 2953471248. Its totient is φ = 284544000.

The previous prime is 1101306317. The next prime is 1101306361. The reversal of 1101306330 is 336031011.

1101306330 is a `hidden beast` number, since 1 + 1 + 0 + 1 + 30 + 633 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 6953769 + 1094352561 = 2637^2 + 33081^2 .

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

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 578380 + ... + 580280.

Almost surely, 2^1101306330 is an apocalyptic number.

1101306330 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 1101306330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1476735624).

1101306330 is an abundant number, since it is smaller than the sum of its proper divisors (1852164918).

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

1101306330 is a wasteful number, since it uses less digits than its factorization.

1101306330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2112 (or 2109 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

The square root of 1101306330 is about 33185.9357258463. The cubic root of 1101306330 is about 1032.6885897054.

Adding to 1101306330 its reverse (336031011), we get a palindrome (1437337341).

The spelling of 1101306330 in words is "one billion, one hundred one million, three hundred six thousand, three hundred thirty".