10041414231321 has 48 divisors (see below), whose sum is σ = 17229946968000. Its totient is φ = 5566598190720.

The previous prime is 10041414231319. The next prime is 10041414231349. The reversal of 10041414231321 is 12313241414001.

It is a happy number.

10041414231321 is a `hidden beast` number, since 1 + 0 + 0 + 414 + 14 + 231 + 3 + 2 + 1 = 666.

10041414231321 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10041414231321 - 2¹ = 10041414231319 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10041414231301) 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, 91985766 + ... + 92094863.

It is an arithmetic number, because the mean of its divisors is an integer number (358957228500).

Almost surely, 2^{10041414231321} is an apocalyptic number.

10041414231321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10041414231321 is a deficient number, since it is larger than the sum of its proper divisors (7188532736679).

10041414231321 is a wasteful number, since it uses less digits than its factorization.

10041414231321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184080694 (or 184080691 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 10041414231321 its reverse (12313241414001), we get a palindrome (22354655645322).

The spelling of 10041414231321 in words is "ten trillion, forty-one billion, four hundred fourteen million, two hundred thirty-one thousand, three hundred twenty-one".