10131101211 has 32 divisors (see below), whose sum is σ = 16849133568. Its totient is φ = 5260465440.

The previous prime is 10131101191. The next prime is 10131101231. The reversal of 10131101211 is 11210113101.

It is an interprime number because it is at equal distance from previous prime (10131101191) and next prime (10131101231).

It is not a de Polignac number, because 10131101211 - 2¹⁵ = 10131068443 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10131101231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 556296 + ... + 574218.

It is an arithmetic number, because the mean of its divisors is an integer number (526535424).

Almost surely, 2^10131101211 is an apocalyptic number.

10131101211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10131101211 is a deficient number, since it is larger than the sum of its proper divisors (6718032357).

10131101211 is a wasteful number, since it uses less digits than its factorization.

10131101211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20391.

The product of its (nonzero) digits is 6, while the sum is 12.

Adding to 10131101211 its reverse (11210113101), we get a palindrome (21341214312).

The spelling of 10131101211 in words is "ten billion, one hundred thirty-one million, one hundred one thousand, two hundred eleven".