1142141221013 has 12 divisors (see below), whose sum is σ = 1270182327588. Its totient is φ = 1025790030720.

The previous prime is 1142141221009. The next prime is 1142141221051. The reversal of 1142141221013 is 3101221412411.

It can be written as a sum of positive squares in 6 ways, for example, as 86997272209 + 1055143948804 = 294953^2 + 1027202^2 .

It is not a de Polignac number, because 1142141221013 - 2² = 1142141221009 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1142141221013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1142141221213) 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 11 ways as a sum of consecutive naturals, for example, 91321208 + ... + 91333713.

It is an arithmetic number, because the mean of its divisors is an integer number (105848527299).

Almost surely, 2^{1142141221013} is an apocalyptic number.

1142141221013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1142141221013 is a deficient number, since it is larger than the sum of its proper divisors (128041106575).

1142141221013 is a wasteful number, since it uses less digits than its factorization.

1142141221013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182654984 (or 182654971 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 23.

Adding to 1142141221013 its reverse (3101221412411), we get a palindrome (4243362633424).

The spelling of 1142141221013 in words is "one trillion, one hundred forty-two billion, one hundred forty-one million, two hundred twenty-one thousand, thirteen".