101322313121312 has 24 divisors (see below), whose sum is σ = 199818130747536. Its totient is φ = 50574851344192.

The previous prime is 101322313121299. The next prime is 101322313121317. The reversal of 101322313121312 is 213121313223101.

It is a super-2 number, since 2×101322313121312² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (101322313121317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2697018938 + ... + 2697056505.

It is an arithmetic number, because the mean of its divisors is an integer number (8325755447814).

Almost surely, 2^{101322313121312} is an apocalyptic number.

It is an amenable number.

101322313121312 is a deficient number, since it is larger than the sum of its proper divisors (98495817626224).

101322313121312 is an equidigital number, since it uses as much as digits as its factorization.

101322313121312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5394076040 (or 5394076032 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 26.

Adding to 101322313121312 its reverse (213121313223101), we get a palindrome (314443626344413).

The spelling of 101322313121312 in words is "one hundred one trillion, three hundred twenty-two billion, three hundred thirteen million, one hundred twenty-one thousand, three hundred twelve".