101310305356325 has 24 divisors (see below), whose sum is σ = 135288821414376. Its totient is φ = 74813433120000.

The previous prime is 101310305356321. The next prime is 101310305356349. The reversal of 101310305356325 is 523653503013101.

It can be written as a sum of positive squares in 12 ways, for example, as 65102273685604 + 36208031670721 = 8068598^2 + 6017311^2 .

It is not a de Polignac number, because 101310305356325 - 2² = 101310305356321 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101310305356321) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 92111135 + ... + 93204515.

It is an arithmetic number, because the mean of its divisors is an integer number (5637034225599).

Almost surely, 2^{101310305356325} is an apocalyptic number.

It is an amenable number.

101310305356325 is a deficient number, since it is larger than the sum of its proper divisors (33978516058051).

101310305356325 is a wasteful number, since it uses less digits than its factorization.

101310305356325 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1378505 (or 1378500 counting only the distinct ones).

The product of its (nonzero) digits is 121500, while the sum is 38.

Adding to 101310305356325 its reverse (523653503013101), we get a palindrome (624963808369426).

The spelling of 101310305356325 in words is "one hundred one trillion, three hundred ten billion, three hundred five million, three hundred fifty-six thousand, three hundred twenty-five".