32133200123313 has 6 divisors (see below), whose sum is σ = 46414622400354. Its totient is φ = 21422133415536.

The previous prime is 32133200123309. The next prime is 32133200123377. The reversal of 32133200123313 is 31332100233123.

32133200123313 is a `hidden beast` number, since 3 + 2 + 1 + 3 + 320 + 0 + 1 + 2 + 331 + 3 = 666.

It can be written as a sum of positive squares in only one way, i.e., 25347680483904 + 6785519639409 = 5034648^2 + 2604903^2 .

It is not a de Polignac number, because 32133200123313 - 2² = 32133200123309 is a prime.

It is not an unprimeable number, because it can be changed into a prime (32133200123303) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1785177784620 + ... + 1785177784637.

It is an arithmetic number, because the mean of its divisors is an integer number (7735770400059).

Almost surely, 2^{32133200123313} is an apocalyptic number.

It is an amenable number.

32133200123313 is a deficient number, since it is larger than the sum of its proper divisors (14281422277041).

32133200123313 is a wasteful number, since it uses less digits than its factorization.

32133200123313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3570355569263 (or 3570355569260 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 32133200123313 its reverse (31332100233123), we get a palindrome (63465300356436).

The spelling of 32133200123313 in words is "thirty-two trillion, one hundred thirty-three billion, two hundred million, one hundred twenty-three thousand, three hundred thirteen".