1100133113310 has 192 divisors, whose sum is σ = 3638925388800. Its totient is φ = 228599017920.

The previous prime is 1100133113291. The next prime is 1100133113351. The reversal of 1100133113310 is 133113310011.

1100133113310 is a `hidden beast` number, since 1 + 1 + 0 + 0 + 1 + 331 + 1 + 331 + 0 = 666.

It is a super-2 number, since 2×1100133113310² (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 a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 1280322 + ... + 1959461.

It is an arithmetic number, because the mean of its divisors is an integer number (18952736400).

Almost surely, 2^{1100133113310} is an apocalyptic number.

1100133113310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1100133113310 is an abundant number, since it is smaller than the sum of its proper divisors (2538792275490).

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

1100133113310 is a wasteful number, since it uses less digits than its factorization.

1100133113310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3239828 (or 3239811 counting only the distinct ones).

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

Adding to 1100133113310 its reverse (133113310011), we get a palindrome (1233246423321).

The spelling of 1100133113310 in words is "one trillion, one hundred billion, one hundred thirty-three million, one hundred thirteen thousand, three hundred ten".