1101333131100 has 216 divisors, whose sum is σ = 3546718724640. Its totient is φ = 285642339840.

The previous prime is 1101333131083. The next prime is 1101333131131. The reversal of 1101333131100 is 11313331011.

1101333131100 is a `hidden beast` number, since 1 + 10 + 13 + 331 + 311 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 123838254 + ... + 123847146.

Almost surely, 2^{1101333131100} is an apocalyptic number.

1101333131100 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 1101333131100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1773359362320).

1101333131100 is an abundant number, since it is smaller than the sum of its proper divisors (2445385593540).

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

1101333131100 is a wasteful number, since it uses less digits than its factorization.

1101333131100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12669 (or 12659 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 18.

Adding to 1101333131100 its reverse (11313331011), we get a palindrome (1112646462111).

The spelling of 1101333131100 in words is "one trillion, one hundred one billion, three hundred thirty-three million, one hundred thirty-one thousand, one hundred".