32133122113313 has 8 divisors (see below), whose sum is σ = 34604972474856. Its totient is φ = 29661282000000.

The previous prime is 32133122113307. The next prime is 32133122113319. The reversal of 32133122113313 is 31331122133123.

It is an interprime number because it is at equal distance from previous prime (32133122113307) and next prime (32133122113319).

It can be written as a sum of positive squares in 4 ways, for example, as 7193805244129 + 24939316869184 = 2682127^2 + 4993928^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 32133122113313 - 2¹⁸ = 32133121851169 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (32133122113319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4715813 + ... + 9300813.

It is an arithmetic number, because the mean of its divisors is an integer number (4325621559357).

Almost surely, 2^{32133122113313} is an apocalyptic number.

It is an amenable number.

32133122113313 is a deficient number, since it is larger than the sum of its proper divisors (2471850361543).

32133122113313 is a wasteful number, since it uses less digits than its factorization.

32133122113313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5124115.

The product of its digits is 5832, while the sum is 29.

Adding to 32133122113313 its reverse (31331122133123), we get a palindrome (63464244246436).

The spelling of 32133122113313 in words is "thirty-two trillion, one hundred thirty-three billion, one hundred twenty-two million, one hundred thirteen thousand, three hundred thirteen".