10331100113301 has 24 divisors (see below), whose sum is σ = 16280778530016. Its totient is φ = 6260707695840.

The previous prime is 10331100113221. The next prime is 10331100113303.

10331100113301 is a `hidden beast` number, since 1 + 0 + 331 + 1 + 0 + 0 + 1 + 1 + 330 + 1 = 666.

10331100113301 is nontrivially palindromic in base 10.

10331100113301 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10331100113301 - 2²³ = 10331091724693 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10331100113303) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3605415 + ... + 5801828.

It is an arithmetic number, because the mean of its divisors is an integer number (678365772084).

Almost surely, 2^{10331100113301} is an apocalyptic number.

10331100113301 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10331100113301 is a deficient number, since it is larger than the sum of its proper divisors (5949678416715).

10331100113301 is a wasteful number, since it uses less digits than its factorization.

10331100113301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9418353 (or 9418350 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 18.

It can be divided in two parts, 10331100 and 113301, that added together give a palindrome (10444401).

The spelling of 10331100113301 in words is "ten trillion, three hundred thirty-one billion, one hundred million, one hundred thirteen thousand, three hundred one".