10031233102011 has 48 divisors (see below), whose sum is σ = 16327003410432. Its totient is φ = 5879701699200.

The previous prime is 10031233101961. The next prime is 10031233102091. The reversal of 10031233102011 is 11020133213001.

10031233102011 is a `hidden beast` number, since 1 + 0 + 0 + 312 + 331 + 0 + 20 + 1 + 1 = 666.

It is not a de Polignac number, because 10031233102011 - 2¹⁵ = 10031233069243 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10031233102091) 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 47 ways as a sum of consecutive naturals, for example, 3825831 + ... + 5890623.

It is an arithmetic number, because the mean of its divisors is an integer number (340145904384).

Almost surely, 2^{10031233102011} is an apocalyptic number.

10031233102011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10031233102011 is a deficient number, since it is larger than the sum of its proper divisors (6295770308421).

10031233102011 is a wasteful number, since it uses less digits than its factorization.

10031233102011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2066424 (or 2066421 counting only the distinct ones).

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

Adding to 10031233102011 its reverse (11020133213001), we get a palindrome (21051366315012).

The spelling of 10031233102011 in words is "ten trillion, thirty-one billion, two hundred thirty-three million, one hundred two thousand, eleven".