101321011313 has 16 divisors (see below), whose sum is σ = 108666478080. Its totient is φ = 94130090496.

The previous prime is 101321011301. The next prime is 101321011417. The reversal of 101321011313 is 313110123101.

It is a cyclic number.

It is not a de Polignac number, because 101321011313 - 2⁶ = 101321011249 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101321011291 and 101321011300.

It is not an unprimeable number, because it can be changed into a prime (101321011513) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7544981 + ... + 7558397.

It is an arithmetic number, because the mean of its divisors is an integer number (6791654880).

Almost surely, 2^101321011313 is an apocalyptic number.

It is an amenable number.

101321011313 is a deficient number, since it is larger than the sum of its proper divisors (7345466767).

101321011313 is a wasteful number, since it uses less digits than its factorization.

101321011313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19136.

The product of its (nonzero) digits is 54, while the sum is 17.

Adding to 101321011313 its reverse (313110123101), we get a palindrome (414431134414).

The spelling of 101321011313 in words is "one hundred one billion, three hundred twenty-one million, eleven thousand, three hundred thirteen".