10101311331 has 8 divisors (see below), whose sum is σ = 13781634240. Its totient is φ = 6577597992.

The previous prime is 10101311317. The next prime is 10101311351. The reversal of 10101311331 is 13311310101.

10101311331 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not a de Polignac number, because 10101311331 - 2⁷ = 10101311203 is a prime.

It is a super-2 number, since 2×10101311331² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10101311331.

It is not an unprimeable number, because it can be changed into a prime (10101311351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39152241 + ... + 39152498.

It is an arithmetic number, because the mean of its divisors is an integer number (1722704280).

Almost surely, 2^10101311331 is an apocalyptic number.

10101311331 is a deficient number, since it is larger than the sum of its proper divisors (3680322909).

10101311331 is an equidigital number, since it uses as much as digits as its factorization.

10101311331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78304785.

The product of its (nonzero) digits is 27, while the sum is 15.

Adding to 10101311331 its reverse (13311310101), we get a palindrome (23412621432).

The spelling of 10101311331 in words is "ten billion, one hundred one million, three hundred eleven thousand, three hundred thirty-one".