1131321220133 has 16 divisors (see below), whose sum is σ = 1219427904240. Its totient is φ = 1043369496576.

The previous prime is 1131321220103. The next prime is 1131321220157. The reversal of 1131321220133 is 3310221231311.

It can be written as a sum of positive squares in 8 ways, for example, as 148750605124 + 982570615009 = 385682^2 + 991247^2 .

It is a cyclic number.

It is not a de Polignac number, because 1131321220133 - 2⁸ = 1131321219877 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1131321220099 and 1131321220108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1131321220103) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 134853503 + ... + 134861891.

It is an arithmetic number, because the mean of its divisors is an integer number (76214244015).

Almost surely, 2^{1131321220133} is an apocalyptic number.

1131321220133 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1131321220133 is a deficient number, since it is larger than the sum of its proper divisors (88106684107).

1131321220133 is a wasteful number, since it uses less digits than its factorization.

1131321220133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16376.

The product of its (nonzero) digits is 648, while the sum is 23.

Adding to 1131321220133 its reverse (3310221231311), we get a palindrome (4441542451444).

The spelling of 1131321220133 in words is "one trillion, one hundred thirty-one billion, three hundred twenty-one million, two hundred twenty thousand, one hundred thirty-three".