10311143201 has 12 divisors (see below), whose sum is σ = 10632815652. Its totient is φ = 9997277184.

The previous prime is 10311143197. The next prime is 10311143207. The reversal of 10311143201 is 10234111301.

10311143201 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 6213222976 + 4097920225 = 78824^2 + 64015^2 .

It is not a de Polignac number, because 10311143201 - 2² = 10311143197 is a prime.

It is a super-2 number, since 2×10311143201² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 10311143201.

It is not an unprimeable number, because it can be changed into a prime (10311143207) 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 11 ways as a sum of consecutive naturals, for example, 233825 + ... + 274401.

It is an arithmetic number, because the mean of its divisors is an integer number (886067971).

Almost surely, 2^10311143201 is an apocalyptic number.

It is an amenable number.

10311143201 is a deficient number, since it is larger than the sum of its proper divisors (321672451).

10311143201 is an frugal number, since it uses more digits than its factorization.

10311143201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40768 (or 40709 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 10311143201 its reverse (10234111301), we get a palindrome (20545254502).

The spelling of 10311143201 in words is "ten billion, three hundred eleven million, one hundred forty-three thousand, two hundred one".