330120113112001 has 2 divisors, whose sum is σ = 330120113112002. Its totient is φ = 330120113112000.

The previous prime is 330120113111951. The next prime is 330120113112029. The reversal of 330120113112001 is 100211311021033.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 207535025717776 + 122585087394225 = 14406076^2 + 11071815^2 .

It is a cyclic number.

It is not a de Polignac number, because 330120113112001 - 2⁹ = 330120113111489 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 330120113112001.

It is not a weakly prime, because it can be changed into another prime (330120113112401) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 165060056556000 + 165060056556001.

It is an arithmetic number, because the mean of its divisors is an integer number (165060056556001).

Almost surely, 2^{330120113112001} is an apocalyptic number.

It is an amenable number.

330120113112001 is a deficient number, since it is larger than the sum of its proper divisors (1).

330120113112001 is an equidigital number, since it uses as much as digits as its factorization.

330120113112001 is an evil number, because the sum of its binary digits is even.

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

Adding to 330120113112001 its reverse (100211311021033), we get a palindrome (430331424133034).

The spelling of 330120113112001 in words is "three hundred thirty trillion, one hundred twenty billion, one hundred thirteen million, one hundred twelve thousand, one".