1133331102321 has 64 divisors (see below), whose sum is σ = 1699532034816. Its totient is φ = 665743795200.

The previous prime is 1133331102311. The next prime is 1133331102347. The reversal of 1133331102321 is 1232011333311.

It is not a de Polignac number, because 1133331102321 - 2³³ = 1124741167729 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1133331102291 and 1133331102300.

It is not an unprimeable number, because it can be changed into a prime (1133331102311) 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 63 ways as a sum of consecutive naturals, for example, 669420951 + ... + 669422643.

It is an arithmetic number, because the mean of its divisors is an integer number (26555188044).

Almost surely, 2^{1133331102321} is an apocalyptic number.

1133331102321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1133331102321 is a deficient number, since it is larger than the sum of its proper divisors (566200932495).

1133331102321 is a wasteful number, since it uses less digits than its factorization.

1133331102321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3522.

The product of its (nonzero) digits is 972, while the sum is 24.

Adding to 1133331102321 its reverse (1232011333311), we get a palindrome (2365342435632).

The spelling of 1133331102321 in words is "one trillion, one hundred thirty-three billion, three hundred thirty-one million, one hundred two thousand, three hundred twenty-one".