1011312221312 has 16 divisors (see below), whose sum is σ = 2014723566150. Its totient is φ = 505656110592.

The previous prime is 1011312221303. The next prime is 1011312221341. The reversal of 1011312221312 is 2131222131101.

It can be written as a sum of positive squares in only one way, i.e., 951530015296 + 59782206016 = 975464^2 + 244504^2 .

It is a tau number, because it is divible by the number of its divisors (16).

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, 3950438237 + ... + 3950438492.

Almost surely, 2^{1011312221312} is an apocalyptic number.

It is an amenable number.

1011312221312 is a deficient number, since it is larger than the sum of its proper divisors (1003411344838).

1011312221312 is an frugal number, since it uses more digits than its factorization.

1011312221312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7900876743 (or 7900876731 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 1011312221312 its reverse (2131222131101), we get a palindrome (3142534352413).

The spelling of 1011312221312 in words is "one trillion, eleven billion, three hundred twelve million, two hundred twenty-one thousand, three hundred twelve".