1321321440033 has 48 divisors (see below), whose sum is σ = 2256882526080. Its totient is φ = 728863204608.

The previous prime is 1321321440011. The next prime is 1321321440037. The reversal of 1321321440033 is 3300441231231.

It is a happy number.

1321321440033 is a `hidden beast` number, since 1 + 3 + 2 + 13 + 214 + 400 + 33 = 666.

It is not a de Polignac number, because 1321321440033 - 2¹⁸ = 1321321177889 is a prime.

It is a super-3 number, since 3×1321321440033³ (a number of 37 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1321321439979 and 1321321440006.

It is not an unprimeable number, because it can be changed into a prime (1321321440037) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9701341 + ... + 9836597.

It is an arithmetic number, because the mean of its divisors is an integer number (47018385960).

Almost surely, 2^{1321321440033} is an apocalyptic number.

It is an amenable number.

1321321440033 is a deficient number, since it is larger than the sum of its proper divisors (935561086047).

1321321440033 is a wasteful number, since it uses less digits than its factorization.

1321321440033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140646 (or 140643 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 1321321440033 its reverse (3300441231231), we get a palindrome (4621762671264).

The spelling of 1321321440033 in words is "one trillion, three hundred twenty-one billion, three hundred twenty-one million, four hundred forty thousand, thirty-three".