10131103322211 has 8 divisors (see below), whose sum is σ = 13873222567504. Its totient is φ = 6571526479200.

The previous prime is 10131103322183. The next prime is 10131103322239. The reversal of 10131103322211 is 11222330113101.

It is an interprime number because it is at equal distance from previous prime (10131103322183) and next prime (10131103322239).

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

It is not a de Polignac number, because 10131103322211 - 2¹³ = 10131103314019 is a prime.

It is a super-2 number, since 2×10131103322211² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10131103322411) 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 7 ways as a sum of consecutive naturals, for example, 45635600440 + ... + 45635600661.

It is an arithmetic number, because the mean of its divisors is an integer number (1734152820938).

Almost surely, 2^{10131103322211} is an apocalyptic number.

10131103322211 is a deficient number, since it is larger than the sum of its proper divisors (3742119245293).

10131103322211 is an equidigital number, since it uses as much as digits as its factorization.

10131103322211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91271201141.

The product of its (nonzero) digits is 216, while the sum is 21.

Adding to 10131103322211 its reverse (11222330113101), we get a palindrome (21353433435312).

The spelling of 10131103322211 in words is "ten trillion, one hundred thirty-one billion, one hundred three million, three hundred twenty-two thousand, two hundred eleven".