1331120032001 has 32 divisors (see below), whose sum is σ = 1473002496000. Its totient is φ = 1197320336640.

The previous prime is 1331120031979. The next prime is 1331120032019. The reversal of 1331120032001 is 1002300211331.

It is a cyclic number.

It is not a de Polignac number, because 1331120032001 - 2³⁴ = 1313940162817 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1331120032031) 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, 154795100 + ... + 154803698.

It is an arithmetic number, because the mean of its divisors is an integer number (46031328000).

Almost surely, 2^{1331120032001} is an apocalyptic number.

It is an amenable number.

1331120032001 is a deficient number, since it is larger than the sum of its proper divisors (141882463999).

1331120032001 is a wasteful number, since it uses less digits than its factorization.

1331120032001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12269.

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 1331120032001 its reverse (1002300211331), we get a palindrome (2333420243332).

The spelling of 1331120032001 in words is "one trillion, three hundred thirty-one billion, one hundred twenty million, thirty-two thousand, one".