101321130313 has 32 divisors (see below), whose sum is σ = 116741399040. Its totient is φ = 87109862400.

The previous prime is 101321130307. The next prime is 101321130367. The reversal of 101321130313 is 313031123101.

It is a cyclic number.

It is not a de Polignac number, because 101321130313 - 2⁹ = 101321129801 is a prime.

It is a super-3 number, since 3×101321130313³ (a number of 34 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (101321139313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8971156 + ... + 8982442.

It is an arithmetic number, because the mean of its divisors is an integer number (3648168720).

Almost surely, 2^101321130313 is an apocalyptic number.

101321130313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

101321130313 is a deficient number, since it is larger than the sum of its proper divisors (15420268727).

101321130313 is a wasteful number, since it uses less digits than its factorization.

101321130313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11737.

The product of its (nonzero) digits is 162, while the sum is 19.

Adding to 101321130313 its reverse (313031123101), we get a palindrome (414352253414).

The spelling of 101321130313 in words is "one hundred one billion, three hundred twenty-one million, one hundred thirty thousand, three hundred thirteen".