10310131320001 has 16 divisors (see below), whose sum is σ = 10673034316560. Its totient is φ = 9952835092480.

The previous prime is 10310131319981. The next prime is 10310131320007. The reversal of 10310131320001 is 10002313101301.

It can be written as a sum of positive squares in 8 ways, for example, as 3317406890625 + 6992724429376 = 1821375^2 + 2644376^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10310131320001 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10310131320007) 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 15 ways as a sum of consecutive naturals, for example, 871005 + ... + 4623733.

It is an arithmetic number, because the mean of its divisors is an integer number (667064644785).

Almost surely, 2^{10310131320001} is an apocalyptic number.

It is an amenable number.

10310131320001 is a deficient number, since it is larger than the sum of its proper divisors (362902996559).

10310131320001 is a wasteful number, since it uses less digits than its factorization.

10310131320001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3753476.

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 10310131320001 its reverse (10002313101301), we get a palindrome (20312444421302).

The spelling of 10310131320001 in words is "ten trillion, three hundred ten billion, one hundred thirty-one million, three hundred twenty thousand, one".