10223120431341 has 24 divisors (see below), whose sum is σ = 15635491240824. Its totient is φ = 6414453365760.

The previous prime is 10223120431327. The next prime is 10223120431343. The reversal of 10223120431341 is 14313402132201.

10223120431341 is a `hidden beast` number, since 1 + 0 + 2 + 2 + 312 + 0 + 4 + 3 + 1 + 341 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 6840427007241 + 3382693424100 = 2615421^2 + 1839210^2 .

It is not a de Polignac number, because 10223120431341 - 2¹⁵ = 10223120398573 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10223120431343) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26426451 + ... + 26810511.

It is an arithmetic number, because the mean of its divisors is an integer number (651478801701).

Almost surely, 2^{10223120431341} is an apocalyptic number.

It is an amenable number.

10223120431341 is a deficient number, since it is larger than the sum of its proper divisors (5412370809483).

10223120431341 is a wasteful number, since it uses less digits than its factorization.

10223120431341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 558061 (or 558058 counting only the distinct ones).

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

Adding to 10223120431341 its reverse (14313402132201), we get a palindrome (24536522563542).

The spelling of 10223120431341 in words is "ten trillion, two hundred twenty-three billion, one hundred twenty million, four hundred thirty-one thousand, three hundred forty-one".