10002111101331 has 8 divisors (see below), whose sum is σ = 13696584571344. Its totient is φ = 6487855849440.

The previous prime is 10002111101329. The next prime is 10002111101347. The reversal of 10002111101331 is 13310111120001.

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

It is not a de Polignac number, because 10002111101331 - 2¹ = 10002111101329 is a prime.

It is a super-3 number, since 3×10002111101331³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 10002111101331.

It is not an unprimeable number, because it can be changed into a prime (10002111101321) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 45054554400 + ... + 45054554621.

It is an arithmetic number, because the mean of its divisors is an integer number (1712073071418).

Almost surely, 2^{10002111101331} is an apocalyptic number.

10002111101331 is a deficient number, since it is larger than the sum of its proper divisors (3694473470013).

10002111101331 is an equidigital number, since it uses as much as digits as its factorization.

10002111101331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90109109061.

The product of its (nonzero) digits is 18, while the sum is 15.

Adding to 10002111101331 its reverse (13310111120001), we get a palindrome (23312222221332).

The spelling of 10002111101331 in words is "ten trillion, two billion, one hundred eleven million, one hundred one thousand, three hundred thirty-one".