1331121343201 has 32 divisors (see below), whose sum is σ = 1483708520448. Its totient is φ = 1186439304960.

The previous prime is 1331121343193. The next prime is 1331121343247. The reversal of 1331121343201 is 1023431211331.

It is not a de Polignac number, because 1331121343201 - 2³ = 1331121343193 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1331121353201) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17250816 + ... + 17327806.

It is an arithmetic number, because the mean of its divisors is an integer number (46365891264).

Almost surely, 2^{1331121343201} is an apocalyptic number.

It is an amenable number.

1331121343201 is a deficient number, since it is larger than the sum of its proper divisors (152587177247).

1331121343201 is a wasteful number, since it uses less digits than its factorization.

1331121343201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77401.

The product of its (nonzero) digits is 1296, while the sum is 25.

Adding to 1331121343201 its reverse (1023431211331), we get a palindrome (2354552554532).

The spelling of 1331121343201 in words is "one trillion, three hundred thirty-one billion, one hundred twenty-one million, three hundred forty-three thousand, two hundred one".