1100013033348 has 72 divisors (see below), whose sum is σ = 2820475374080. Its totient is φ = 361426665600.

The previous prime is 1100013033313. The next prime is 1100013033349. The reversal of 1100013033348 is 8433303100011.

1100013033348 is a `hidden beast` number, since 1 + 10 + 0 + 0 + 1 + 303 + 3 + 348 = 666.

It is not an unprimeable number, because it can be changed into a prime (1100013033349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1387461 + ... + 2031027.

Almost surely, 2^{1100013033348} is an apocalyptic number.

1100013033348 is a gapful number since it is divisible by the number (18) 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 1100013033348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1410237687040).

1100013033348 is an abundant number, since it is smaller than the sum of its proper divisors (1720462340732).

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

1100013033348 is a wasteful number, since it uses less digits than its factorization.

1100013033348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 644257 (or 644252 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 1100013033348 its reverse (8433303100011), we get a palindrome (9533316133359).

The spelling of 1100013033348 in words is "one trillion, one hundred billion, thirteen million, thirty-three thousand, three hundred forty-eight".