1012221131311 has 16 divisors (see below), whose sum is σ = 1113528415104. Its totient is φ = 914473429344.

The previous prime is 1012221131303. The next prime is 1012221131323. The reversal of 1012221131311 is 1131311222101.

It is a cyclic number.

It is not a de Polignac number, because 1012221131311 - 2³ = 1012221131303 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1012221131711) 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 15 ways as a sum of consecutive naturals, for example, 4268241 + ... + 4499146.

It is an arithmetic number, because the mean of its divisors is an integer number (69595525944).

Almost surely, 2^{1012221131311} is an apocalyptic number.

1012221131311 is a deficient number, since it is larger than the sum of its proper divisors (101307283793).

1012221131311 is a wasteful number, since it uses less digits than its factorization.

1012221131311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8767590.

The product of its (nonzero) digits is 72, while the sum is 19.

Adding to 1012221131311 its reverse (1131311222101), we get a palindrome (2143532353412).

The spelling of 1012221131311 in words is "one trillion, twelve billion, two hundred twenty-one million, one hundred thirty-one thousand, three hundred eleven".