1110133211400 has 72 divisors (see below), whose sum is σ = 3728197374330. Its totient is φ = 296035522560.

The previous prime is 1110133211381. The next prime is 1110133211483. The reversal of 1110133211400 is 41123310111.

It is a happy number.

1110133211400 is a `hidden beast` number, since 1 + 110 + 133 + 21 + 1 + 400 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 790281884484 + 319851326916 = 888978^2 + 565554^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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 17 ways as a sum of consecutive naturals, for example, 308368537 + ... + 308372136.

Almost surely, 2^{1110133211400} is an apocalyptic number.

1110133211400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1110133211400 is an abundant number, since it is smaller than the sum of its proper divisors (2618064162930).

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

1110133211400 is a wasteful number, since it uses less digits than its factorization.

1110133211400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 616740695 (or 616740683 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 1110133211400 its reverse (41123310111), we get a palindrome (1151256521511).

The spelling of 1110133211400 in words is "one trillion, one hundred ten billion, one hundred thirty-three million, two hundred eleven thousand, four hundred".