101001313201312 has 12 divisors (see below), whose sum is σ = 198846335365146. Its totient is φ = 50500656600640.

The previous prime is 101001313201289. The next prime is 101001313201337. The reversal of 101001313201312 is 213102313100101.

It can be written as a sum of positive squares in only one way, i.e., 59117583929616 + 41883729271696 = 7688796^2 + 6471764^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 101001313201312.

It is an unprimeable number.

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 as a sum of consecutive naturals, namely, 1578145518739 + ... + 1578145518802.

Almost surely, 2^{101001313201312} is an apocalyptic number.

It is an amenable number.

101001313201312 is a deficient number, since it is larger than the sum of its proper divisors (97845022163834).

101001313201312 is an equidigital number, since it uses as much as digits as its factorization.

101001313201312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3156291037551 (or 3156291037543 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 19.

Adding to 101001313201312 its reverse (213102313100101), we get a palindrome (314103626301413).

The spelling of 101001313201312 in words is "one hundred one trillion, one billion, three hundred thirteen million, two hundred one thousand, three hundred twelve".