1333122020113 has 24 divisors (see below), whose sum is σ = 1476284325912. Its totient is φ = 1202974875648.

The previous prime is 1333122020101. The next prime is 1333122020159. The reversal of 1333122020113 is 3110202213331.

It can be written as a sum of positive squares in 12 ways, for example, as 1161764933904 + 171357086209 = 1077852^2 + 413953^2 .

It is not a de Polignac number, because 1333122020113 - 2⁵ = 1333122020081 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1333122020183) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 915945 + ... + 1872217.

It is an arithmetic number, because the mean of its divisors is an integer number (61511846913).

Almost surely, 2^{1333122020113} is an apocalyptic number.

1333122020113 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1333122020113 is a deficient number, since it is larger than the sum of its proper divisors (143162305799).

1333122020113 is a wasteful number, since it uses less digits than its factorization.

1333122020113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 956485 (or 956472 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 1333122020113 its reverse (3110202213331), we get a palindrome (4443324233444).

The spelling of 1333122020113 in words is "one trillion, three hundred thirty-three billion, one hundred twenty-two million, twenty thousand, one hundred thirteen".