10002332131011 has 32 divisors (see below), whose sum is σ = 16167142794240. Its totient is φ = 6061360399200.

The previous prime is 10002332130979. The next prime is 10002332131093. The reversal of 10002332131011 is 11013123320001.

10002332131011 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 23 + 321 + 310 + 11 = 666.

It is not a de Polignac number, because 10002332131011 - 2⁵ = 10002332130979 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10002332139011) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 912486 + ... + 4564788.

It is an arithmetic number, because the mean of its divisors is an integer number (505223212320).

Almost surely, 2^{10002332131011} is an apocalyptic number.

10002332131011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10002332131011 is a deficient number, since it is larger than the sum of its proper divisors (6164810663229).

10002332131011 is a wasteful number, since it uses less digits than its factorization.

10002332131011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3661544 (or 3661538 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 10002332131011 its reverse (11013123320001), we get a palindrome (21015455451012).

The spelling of 10002332131011 in words is "ten trillion, two billion, three hundred thirty-two million, one hundred thirty-one thousand, eleven".