110400031132011 has 48 divisors (see below), whose sum is σ = 161753422334400. Its totient is φ = 72552009277440.

The previous prime is 110400031131991. The next prime is 110400031132051. The reversal of 110400031132011 is 110231130004011.

It is a happy number.

110400031132011 is a `hidden beast` number, since 110 + 40 + 0 + 0 + 311 + 3 + 201 + 1 = 666.

It is not a de Polignac number, because 110400031132011 - 2⁵ = 110400031131979 is a prime.

It is not an unprimeable number, because it can be changed into a prime (110400031132051) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 493095451 + ... + 493319291.

It is an arithmetic number, because the mean of its divisors is an integer number (3369862965300).

Almost surely, 2^{110400031132011} is an apocalyptic number.

110400031132011 is a deficient number, since it is larger than the sum of its proper divisors (51353391202389).

110400031132011 is a wasteful number, since it uses less digits than its factorization.

110400031132011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226596 (or 226593 counting only the distinct ones).

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

Adding to 110400031132011 its reverse (110231130004011), we get a palindrome (220631161136022).

The spelling of 110400031132011 in words is "one hundred ten trillion, four hundred billion, thirty-one million, one hundred thirty-two thousand, eleven".