10200310131001 has 32 divisors (see below), whose sum is σ = 10499807878560. Its totient is φ = 9905374961664.

The previous prime is 10200310130947. The next prime is 10200310131007. The reversal of 10200310131001 is 10013101300201.

It can be written as a sum of positive squares in 16 ways, for example, as 28669262400 + 10171640868601 = 169320^2 + 3189301^2 .

It is a cyclic number.

It is not a de Polignac number, because 10200310131001 - 2³¹ = 10198162647353 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10200310131007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3839031465 + ... + 3839034121.

It is an arithmetic number, because the mean of its divisors is an integer number (328118996205).

Almost surely, 2^{10200310131001} is an apocalyptic number.

It is an amenable number.

10200310131001 is a deficient number, since it is larger than the sum of its proper divisors (299497747559).

10200310131001 is a wasteful number, since it uses less digits than its factorization.

10200310131001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4605.

The product of its (nonzero) digits is 18, while the sum is 13.

Adding to 10200310131001 its reverse (10013101300201), we get a palindrome (20213411431202).

The spelling of 10200310131001 in words is "ten trillion, two hundred billion, three hundred ten million, one hundred thirty-one thousand, one".