10321322142345 has 32 divisors (see below), whose sum is σ = 16717825872000. Its totient is φ = 5437214452224.

The previous prime is 10321322142277. The next prime is 10321322142347. The reversal of 10321322142345 is 54324122312301.

It is a happy number.

It is not a de Polignac number, because 10321322142345 - 2¹² = 10321322138249 is a prime.

It is a super-2 number, since 2×10321322142345² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10321322142347) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 12499492 + ... + 13299621.

It is an arithmetic number, because the mean of its divisors is an integer number (522432058500).

Almost surely, 2^{10321322142345} is an apocalyptic number.

10321322142345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10321322142345 is a deficient number, since it is larger than the sum of its proper divisors (6396503729655).

10321322142345 is a wasteful number, since it uses less digits than its factorization.

10321322142345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25799449.

The product of its (nonzero) digits is 34560, while the sum is 33.

Adding to 10321322142345 its reverse (54324122312301), we get a palindrome (64645444454646).

The spelling of 10321322142345 in words is "ten trillion, three hundred twenty-one billion, three hundred twenty-two million, one hundred forty-two thousand, three hundred forty-five".