10331122113301 has 8 divisors (see below), whose sum is σ = 11326949784000. Its totient is φ = 9344733567840.

The previous prime is 10331122113293. The next prime is 10331122113317.

10331122113301 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 10331122113301 - 2³ = 10331122113293 is a prime.

It is a super-2 number, since 2×10331122113301² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10331122113401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2359779016 + ... + 2359783393.

It is an arithmetic number, because the mean of its divisors is an integer number (1415868723000).

Almost surely, 2^{10331122113301} is an apocalyptic number.

10331122113301 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10331122113301 is a deficient number, since it is larger than the sum of its proper divisors (995827670699).

10331122113301 is a wasteful number, since it uses less digits than its factorization.

10331122113301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4719562619.

The product of its (nonzero) digits is 324, while the sum is 22.

It can be divided in two parts, 1033112 and 2113301, that added together give a palindrome (3146413).

The spelling of 10331122113301 in words is "ten trillion, three hundred thirty-one billion, one hundred twenty-two million, one hundred thirteen thousand, three hundred one".