10141340322321 has 32 divisors (see below), whose sum is σ = 16184245616000. Its totient is φ = 6239154890304.

The previous prime is 10141340322299. The next prime is 10141340322341. The reversal of 10141340322321 is 12322304314101.

10141340322321 is a `hidden beast` number, since 1 + 0 + 1 + 4 + 13 + 4 + 0 + 322 + 321 = 666.

10141340322321 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 10141340322321 - 2¹⁸ = 10141340060177 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10141340322341) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2551306 + ... + 5176083.

It is an arithmetic number, because the mean of its divisors is an integer number (505757675500).

Almost surely, 2^{10141340322321} is an apocalyptic number.

It is an amenable number.

10141340322321 is a deficient number, since it is larger than the sum of its proper divisors (6042905293679).

10141340322321 is a wasteful number, since it uses less digits than its factorization.

10141340322321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7731150 (or 7731144 counting only the distinct ones).

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

Adding to 10141340322321 its reverse (12322304314101), we get a palindrome (22463644636422).

The spelling of 10141340322321 in words is "ten trillion, one hundred forty-one billion, three hundred forty million, three hundred twenty-two thousand, three hundred twenty-one".