1011131132321 has 2 divisors, whose sum is σ = 1011131132322. Its totient is φ = 1011131132320.

The previous prime is 1011131132189. The next prime is 1011131132339. The reversal of 1011131132321 is 1232311311101.

1011131132321 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 631230250000 + 379900882321 = 794500^2 + 616361^2 .

It is a cyclic number.

It is not a de Polignac number, because 1011131132321 - 2¹⁴ = 1011131115937 is a prime.

It is a super-2 number, since 2×1011131132321² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1011131132293 and 1011131132302.

It is not a weakly prime, because it can be changed into another prime (1011131137321) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 505565566160 + 505565566161.

It is an arithmetic number, because the mean of its divisors is an integer number (505565566161).

Almost surely, 2^{1011131132321} is an apocalyptic number.

It is an amenable number.

1011131132321 is a deficient number, since it is larger than the sum of its proper divisors (1).

1011131132321 is an equidigital number, since it uses as much as digits as its factorization.

1011131132321 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 108, while the sum is 20.

Adding to 1011131132321 its reverse (1232311311101), we get a palindrome (2243442443422).

The spelling of 1011131132321 in words is "one trillion, eleven billion, one hundred thirty-one million, one hundred thirty-two thousand, three hundred twenty-one".