101321023201313 has 8 divisors (see below), whose sum is σ = 101410871044032. Its totient is φ = 101231182918096.

The previous prime is 101321023201309. The next prime is 101321023201361. The reversal of 101321023201313 is 313102320123101.

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 101321023201313 - 2² = 101321023201309 is a prime.

It is a super-2 number, since 2×101321023201313² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101321023201303) 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, 25099031 + ... + 28854867.

It is an arithmetic number, because the mean of its divisors is an integer number (12676358880504).

Almost surely, 2^{101321023201313} is an apocalyptic number.

It is an amenable number.

101321023201313 is a deficient number, since it is larger than the sum of its proper divisors (89847842719).

101321023201313 is a wasteful number, since it uses less digits than its factorization.

101321023201313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3779751.

The product of its (nonzero) digits is 648, while the sum is 23.

Adding to 101321023201313 its reverse (313102320123101), we get a palindrome (414423343324414).

The spelling of 101321023201313 in words is "one hundred one trillion, three hundred twenty-one billion, twenty-three million, two hundred one thousand, three hundred thirteen".