10231633613201 has 192 divisors, whose sum is σ = 14359579584000. Its totient is φ = 7286551272000.

The previous prime is 10231633613171. The next prime is 10231633613219.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

10231633613201 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 10231633613201 - 2³⁴ = 10214453744017 is a prime.

It is a super-3 number, since 3×10231633613201³ (a number of 40 digits) contains 333 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10231633613291) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 101303303051 + ... + 101303303151.

It is an arithmetic number, because the mean of its divisors is an integer number (74789477000).

Almost surely, 2^{10231633613201} is an apocalyptic number.

10231633613201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10231633613201 is a deficient number, since it is larger than the sum of its proper divisors (4127945970799).

10231633613201 is an frugal number, since it uses more digits than its factorization.

10231633613201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 32.

It can be divided in two parts, 1023163 and 3613201, that added together give a palindrome (4636364).

The spelling of 10231633613201 in words is "ten trillion, two hundred thirty-one billion, six hundred thirty-three million, six hundred thirteen thousand, two hundred one".