10231411413201 has 96 divisors (see below), whose sum is σ = 16076760505344. Its totient is φ = 5735914800000.

The previous prime is 10231411413163. The next prime is 10231411413263.

10231411413201 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 10231411413201 - 2⁶ = 10231411413137 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10231411413271) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 75748276 + ... + 75883226.

It is an arithmetic number, because the mean of its divisors is an integer number (167466255264).

Almost surely, 2^{10231411413201} is an apocalyptic number.

10231411413201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10231411413201 is a deficient number, since it is larger than the sum of its proper divisors (5845349092143).

10231411413201 is a wasteful number, since it uses less digits than its factorization.

10231411413201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135155 (or 135132 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

It can be divided in two parts, 1023141 and 1413201, that added together give a palindrome (2436342).

The spelling of 10231411413201 in words is "ten trillion, two hundred thirty-one billion, four hundred eleven million, four hundred thirteen thousand, two hundred one".