101312523 has 48 divisors (see below), whose sum is σ = 162664320. Its totient is φ = 60383232.

The previous prime is 101312507. The next prime is 101312543. The reversal of 101312523 is 325213101.

101312523 is a `hidden beast` number, since 10 + 131 + 2 + 523 = 666.

It is not a de Polignac number, because 101312523 - 2⁴ = 101312507 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101312496 and 101312505.

It is not an unprimeable number, because it can be changed into a prime (101312543) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 896515 + ... + 896627.

It is an arithmetic number, because the mean of its divisors is an integer number (3388840).

Almost surely, 2^101312523 is an apocalyptic number.

101312523 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

101312523 is a deficient number, since it is larger than the sum of its proper divisors (61351797).

101312523 is a wasteful number, since it uses less digits than its factorization.

101312523 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 101312523 is about 10065.4122121252. The cubic root of 101312523 is about 466.1807936822.

Adding to 101312523 its reverse (325213101), we get a palindrome (426525624).

The spelling of 101312523 in words is "one hundred one million, three hundred twelve thousand, five hundred twenty-three".