10731507257201 has 16 divisors (see below), whose sum is σ = 10871402272848. Its totient is φ = 10592288256000.

The previous prime is 10731507257183. The next prime is 10731507257249. The reversal of 10731507257201 is 10275270513701.

It can be written as a sum of positive squares in 8 ways, for example, as 184211781601 + 10547295475600 = 429199^2 + 3247660^2 .

It is a cyclic number.

It is not a de Polignac number, because 10731507257201 - 2¹⁰ = 10731507256177 is a prime.

It is a super-2 number, since 2×10731507257201² (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 (10731507257701) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 138330515 + ... + 138408071.

It is an arithmetic number, because the mean of its divisors is an integer number (679462642053).

Almost surely, 2^{10731507257201} is an apocalyptic number.

It is an amenable number.

10731507257201 is a deficient number, since it is larger than the sum of its proper divisors (139895015647).

10731507257201 is a wasteful number, since it uses less digits than its factorization.

10731507257201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81892.

The product of its (nonzero) digits is 102900, while the sum is 41.

The spelling of 10731507257201 in words is "ten trillion, seven hundred thirty-one billion, five hundred seven million, two hundred fifty-seven thousand, two hundred one".