101322110100313 has 8 divisors (see below), whose sum is σ = 103306394729088. Its totient is φ = 99340512386544.

The previous prime is 101322110100259. The next prime is 101322110100349. The reversal of 101322110100313 is 313001011223101.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 101322110100313 - 2⁹ = 101322110099801 is a prime.

It is a super-3 number, since 3×101322110100313³ (a number of 43 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101322110100383) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 671652595 + ... + 671803432.

It is an arithmetic number, because the mean of its divisors is an integer number (12913299341136).

Almost surely, 2^{101322110100313} is an apocalyptic number.

It is an amenable number.

101322110100313 is a deficient number, since it is larger than the sum of its proper divisors (1984284628775).

101322110100313 is a wasteful number, since it uses less digits than its factorization.

101322110100313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1343457503.

The product of its (nonzero) digits is 108, while the sum is 19.

Adding to 101322110100313 its reverse (313001011223101), we get a palindrome (414323121323414).

The spelling of 101322110100313 in words is "one hundred one trillion, three hundred twenty-two billion, one hundred ten million, one hundred thousand, three hundred thirteen".