10232311323201 has 32 divisors (see below), whose sum is σ = 15032719428480. Its totient is φ = 6139184832000.

The previous prime is 10232311323187. The next prime is 10232311323251.

10232311323201 is nontrivially palindromic in base 10.

It is a de Polignac number, because none of the positive numbers 2^k-10232311323201 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10232311323251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25360621 + ... + 25760933.

It is an arithmetic number, because the mean of its divisors is an integer number (469772482140).

Almost surely, 2^{10232311323201} is an apocalyptic number.

10232311323201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10232311323201 is a deficient number, since it is larger than the sum of its proper divisors (4800408105279).

10232311323201 is a wasteful number, since it uses less digits than its factorization.

10232311323201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408097.

The product of its (nonzero) digits is 1296, while the sum is 24.

It can be divided in two parts, 1023231 and 1323201, that added together give a palindrome (2346432).

The spelling of 10232311323201 in words is "ten trillion, two hundred thirty-two billion, three hundred eleven million, three hundred twenty-three thousand, two hundred one".