10133255233101 has 256 divisors, whose sum is σ = 18881557954560. Its totient is φ = 4664915712000.

The previous prime is 10133255233051. The next prime is 10133255233141.

10133255233101 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 10133255233101 - 2¹⁷ = 10133255102029 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10133255233141) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 2769403810 + ... + 2769407468.

It is an arithmetic number, because the mean of its divisors is an integer number (73756085760).

Almost surely, 2^{10133255233101} is an apocalyptic number.

10133255233101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10133255233101 is a deficient number, since it is larger than the sum of its proper divisors (8748302721459).

10133255233101 is a wasteful number, since it uses less digits than its factorization.

10133255233101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4088.

The product of its (nonzero) digits is 8100, while the sum is 30.

It can be divided in two parts, 1013325 and 5233101, that added together give a palindrome (6246426).

The spelling of 10133255233101 in words is "ten trillion, one hundred thirty-three billion, two hundred fifty-five million, two hundred thirty-three thousand, one hundred one".