101322012213113 has 8 divisors (see below), whose sum is σ = 105729355512000. Its totient is φ = 96914838782608.

The previous prime is 101322012213073. The next prime is 101322012213131. The reversal of 101322012213113 is 311312210223101.

It is a happy number.

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 101322012213113 - 2²⁰ = 101322011164537 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101322012213173) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 41247458 + ... + 43634811.

It is an arithmetic number, because the mean of its divisors is an integer number (13216169439000).

Almost surely, 2^{101322012213113} is an apocalyptic number.

It is an amenable number.

101322012213113 is a deficient number, since it is larger than the sum of its proper divisors (4407343298887).

101322012213113 is an equidigital number, since it uses as much as digits as its factorization.

101322012213113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84934191.

The product of its (nonzero) digits is 432, while the sum is 23.

Adding to 101322012213113 its reverse (311312210223101), we get a palindrome (412634222436214).

The spelling of 101322012213113 in words is "one hundred one trillion, three hundred twenty-two billion, twelve million, two hundred thirteen thousand, one hundred thirteen".