101102313 has 16 divisors (see below), whose sum is σ = 146615616. Its totient is φ = 61598400.

The previous prime is 101102303. The next prime is 101102317. The reversal of 101102313 is 313201101.

It is not a de Polignac number, because 101102313 - 2⁴ = 101102297 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101102317) 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, 8895 + ... + 16772.

It is an arithmetic number, because the mean of its divisors is an integer number (9163476).

Almost surely, 2^101102313 is an apocalyptic number.

101102313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

101102313 is a deficient number, since it is larger than the sum of its proper divisors (45513303).

101102313 is a wasteful number, since it uses less digits than its factorization.

101102313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25784.

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 101102313 is about 10054.9645946667. The cubic root of 101102313 is about 465.8581493993.

Adding to 101102313 its reverse (313201101), we get a palindrome (414303414).

The spelling of 101102313 in words is "one hundred one million, one hundred two thousand, three hundred thirteen".