10331434400112 has 60 divisors (see below), whose sum is σ = 33044190981360. Its totient is φ = 2951838399744.

The previous prime is 10331434400107. The next prime is 10331434400129. The reversal of 10331434400112 is 21100443413301.

10331434400112 is a `hidden beast` number, since 1 + 0 + 3 + 3 + 143 + 4 + 400 + 112 = 666.

It is a super-2 number, since 2×10331434400112² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5124718437 + ... + 5124720452.

It is an arithmetic number, because the mean of its divisors is an integer number (550736516356).

Almost surely, 2^{10331434400112} is an apocalyptic number.

10331434400112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10331434400112 is an abundant number, since it is smaller than the sum of its proper divisors (22712756581248).

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

10331434400112 is a wasteful number, since it uses less digits than its factorization.

10331434400112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10249438910 (or 10249438901 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 10331434400112 its reverse (21100443413301), we get a palindrome (31431877813413).

The spelling of 10331434400112 in words is "ten trillion, three hundred thirty-one billion, four hundred thirty-four million, four hundred thousand, one hundred twelve".