1333131002001 has 96 divisors (see below), whose sum is σ = 2115893145600. Its totient is φ = 805685512320.

The previous prime is 1333131001999. The next prime is 1333131002003. The reversal of 1333131002001 is 1002001313331.

It is a happy number.

1333131002001 is a `hidden beast` number, since 1 + 3 + 331 + 310 + 0 + 20 + 0 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (1333131001999) and next prime (1333131002003).

It is not a de Polignac number, because 1333131002001 - 2¹ = 1333131001999 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1333131002003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 351099235 + ... + 351103031.

It is an arithmetic number, because the mean of its divisors is an integer number (22040553600).

Almost surely, 2^{1333131002001} is an apocalyptic number.

It is an amenable number.

1333131002001 is a deficient number, since it is larger than the sum of its proper divisors (782762143599).

1333131002001 is a wasteful number, since it uses less digits than its factorization.

1333131002001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4579 (or 4576 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 1333131002001 its reverse (1002001313331), we get a palindrome (2335132315332).

The spelling of 1333131002001 in words is "one trillion, three hundred thirty-three billion, one hundred thirty-one million, two thousand, one".