101531503201361 has 8 divisors (see below), whose sum is σ = 101578169284200. Its totient is φ = 101484839204352.

The previous prime is 101531503201327. The next prime is 101531503201369. The reversal of 101531503201361 is 163102305135101.

It can be written as a sum of positive squares in 4 ways, for example, as 58901311728961 + 42630191472400 = 7674719^2 + 6529180^2 .

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101531503201361 is a prime.

It is a super-2 number, since 2×101531503201361² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (101531503201369) 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 7 ways as a sum of consecutive naturals, for example, 101423471 + ... + 102419643.

It is an arithmetic number, because the mean of its divisors is an integer number (12697271160525).

Almost surely, 2^{101531503201361} is an apocalyptic number.

It is an amenable number.

101531503201361 is a deficient number, since it is larger than the sum of its proper divisors (46666082839).

101531503201361 is an equidigital number, since it uses as much as digits as its factorization.

101531503201361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1042915.

The product of its (nonzero) digits is 8100, while the sum is 32.

Adding to 101531503201361 its reverse (163102305135101), we get a palindrome (264633808336462).

The spelling of 101531503201361 in words is "one hundred one trillion, five hundred thirty-one billion, five hundred three million, two hundred one thousand, three hundred sixty-one".