1101133133100 has 432 divisors, whose sum is σ = 4634105898240. Its totient is φ = 211206182400.

The previous prime is 1101133133077. The next prime is 1101133133123. The reversal of 1101133133100 is 13313311011.

1101133133100 is a `hidden beast` number, since 1 + 1 + 0 + 1 + 1 + 331 + 331 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1101133133077) and next prime (1101133133123).

It is a super-2 number, since 2×1101133133100² (a number of 25 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 289771 + ... + 1512029.

Almost surely, 2^{1101133133100} is an apocalyptic number.

1101133133100 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 1101133133100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2317052949120).

1101133133100 is an abundant number, since it is smaller than the sum of its proper divisors (3532972765140).

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

1101133133100 is a wasteful number, since it uses less digits than its factorization.

1101133133100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1222310 (or 1222300 counting only the distinct ones).

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

Adding to 1101133133100 its reverse (13313311011), we get a palindrome (1114446444111).

The spelling of 1101133133100 in words is "one trillion, one hundred one billion, one hundred thirty-three million, one hundred thirty-three thousand, one hundred".