101322011130319 has 8 divisors (see below), whose sum is σ = 120831218242560. Its totient is φ = 83071462541496.

The previous prime is 101322011130317. The next prime is 101322011130349. The reversal of 101322011130319 is 913031110223101.

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 101322011130319 - 2¹ = 101322011130317 is a prime.

It is a super-2 number, since 2×101322011130319² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101322011130317) 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, 314664630679 + ... + 314664631000.

It is an arithmetic number, because the mean of its divisors is an integer number (15103902280320).

Almost surely, 2^{101322011130319} is an apocalyptic number.

101322011130319 is a deficient number, since it is larger than the sum of its proper divisors (19509207112241).

101322011130319 is an equidigital number, since it uses as much as digits as its factorization.

101322011130319 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 629329261709.

The product of its (nonzero) digits is 972, while the sum is 28.

The spelling of 101322011130319 in words is "one hundred one trillion, three hundred twenty-two billion, eleven million, one hundred thirty thousand, three hundred nineteen".