101314525 has 12 divisors (see below), whose sum is σ = 135294292. Its totient is φ = 74816640.

The previous prime is 101314513. The next prime is 101314553. The reversal of 101314525 is 525413101.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 131044 + 101183481 = 362^2 + 10059^2 .

It is not a de Polignac number, because 101314525 - 2⁷ = 101314397 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101314496 and 101314505.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 155544 + ... + 156193.

Almost surely, 2^101314525 is an apocalyptic number.

It is an amenable number.

101314525 is a deficient number, since it is larger than the sum of its proper divisors (33979767).

101314525 is a wasteful number, since it uses less digits than its factorization.

101314525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311760 (or 311755 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 22.

The square root of 101314525 is about 10065.5116611129. The cubic root of 101314525 is about 466.1838643385.

Adding to 101314525 its reverse (525413101), we get a palindrome (626727626).

The spelling of 101314525 in words is "one hundred one million, three hundred fourteen thousand, five hundred twenty-five".