110400133131 has 12 divisors (see below), whose sum is σ = 159491754552. Its totient is φ = 73588598496.

The previous prime is 110400133121. The next prime is 110400133139. The reversal of 110400133131 is 131331004011.

110400133131 is a `hidden beast` number, since 1 + 1 + 0 + 400 + 133 + 131 = 666.

It is not a de Polignac number, because 110400133131 - 2³⁴ = 93220263947 is a prime.

It is a super-2 number, since 2×110400133131² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (110400133139) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 896466 + ... + 1012151.

It is an arithmetic number, because the mean of its divisors is an integer number (13290979546).

Almost surely, 2^110400133131 is an apocalyptic number.

110400133131 is a deficient number, since it is larger than the sum of its proper divisors (49091621421).

110400133131 is a wasteful number, since it uses less digits than its factorization.

110400133131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1915050 (or 1915047 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 110400133131 its reverse (131331004011), we get a palindrome (241731137142).

The spelling of 110400133131 in words is "one hundred ten billion, four hundred million, one hundred thirty-three thousand, one hundred thirty-one".