101232313 has 16 divisors (see below), whose sum is σ = 127249920. Its totient is φ = 78388416.

The previous prime is 101232311. The next prime is 101232317. The reversal of 101232313 is 313232101.

It is a cyclic number.

It is not a de Polignac number, because 101232313 - 2¹ = 101232311 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101232311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7558 + ... + 16111.

It is an arithmetic number, because the mean of its divisors is an integer number (7953120).

Almost surely, 2^101232313 is an apocalyptic number.

101232313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

101232313 is a deficient number, since it is larger than the sum of its proper divisors (26017607).

101232313 is a wasteful number, since it uses less digits than its factorization.

101232313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23736.

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 101232313 is about 10061.4269862679. The cubic root of 101232313 is about 466.0577347465.

Adding to 101232313 its reverse (313232101), we get a palindrome (414464414).

It can be divided in two parts, 10 and 1232313, that multiplied together give a triangular number (12323130 = T₄₉₆₄).

The spelling of 101232313 in words is "one hundred one million, two hundred thirty-two thousand, three hundred thirteen".