1321011331201 has 16 divisors (see below), whose sum is σ = 1370468206800. Its totient is φ = 1271818598400.

The previous prime is 1321011331183. The next prime is 1321011331271. The reversal of 1321011331201 is 1021331101231.

It can be written as a sum of positive squares in 8 ways, for example, as 292085121601 + 1028926209600 = 540449^2 + 1014360^2 .

It is a cyclic number.

It is not a de Polignac number, because 1321011331201 - 2⁹ = 1321011330689 is a prime.

It is a super-2 number, since 2×1321011331201² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1321011331271) 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, 19873261 + ... + 19939621.

It is an arithmetic number, because the mean of its divisors is an integer number (85654262925).

Almost surely, 2^{1321011331201} is an apocalyptic number.

It is an amenable number.

1321011331201 is a deficient number, since it is larger than the sum of its proper divisors (49456875599).

1321011331201 is a wasteful number, since it uses less digits than its factorization.

1321011331201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68340.

The product of its (nonzero) digits is 108, while the sum is 19.

Adding to 1321011331201 its reverse (1021331101231), we get a palindrome (2342342432432).

The spelling of 1321011331201 in words is "one trillion, three hundred twenty-one billion, eleven million, three hundred thirty-one thousand, two hundred one".