101322001120013 has 8 divisors (see below), whose sum is σ = 101482004179200. Its totient is φ = 101162004088320.

The previous prime is 101322001119953. The next prime is 101322001120057. The reversal of 101322001120013 is 310021100223101.

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 101322001120013 - 2²⁴ = 101321984342797 is a prime.

It is a super-2 number, since 2×101322001120013² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101322001119973 and 101322001120000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101322001126013) 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, 32754038 + ... + 35713736.

It is an arithmetic number, because the mean of its divisors is an integer number (12685250522400).

Almost surely, 2^{101322001120013} is an apocalyptic number.

It is an amenable number.

101322001120013 is a deficient number, since it is larger than the sum of its proper divisors (160003059187).

101322001120013 is an equidigital number, since it uses as much as digits as its factorization.

101322001120013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3013747.

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 101322001120013 its reverse (310021100223101), we get a palindrome (411343101343114).

The spelling of 101322001120013 in words is "one hundred one trillion, three hundred twenty-two billion, one million, one hundred twenty thousand, thirteen".