102020332133313 has 48 divisors (see below), whose sum is σ = 162420769368000. Its totient is φ = 61194012796800.

The previous prime is 102020332133273. The next prime is 102020332133329. The reversal of 102020332133313 is 313331233020201.

102020332133313 is a `hidden beast` number, since 1 + 0 + 2 + 0 + 2 + 0 + 3 + 321 + 3 + 331 + 3 = 666.

It is not a de Polignac number, because 102020332133313 - 2¹⁴ = 102020332116929 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (102020332133113) 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 47 ways as a sum of consecutive naturals, for example, 5707438 + ... + 15382311.

It is an arithmetic number, because the mean of its divisors is an integer number (3383766028500).

Almost surely, 2^{102020332133313} is an apocalyptic number.

It is an amenable number.

102020332133313 is a deficient number, since it is larger than the sum of its proper divisors (60400437234687).

102020332133313 is a wasteful number, since it uses less digits than its factorization.

102020332133313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21090270 (or 21090267 counting only the distinct ones).

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

Adding to 102020332133313 its reverse (313331233020201), we get a palindrome (415351565153514).

The spelling of 102020332133313 in words is "one hundred two trillion, twenty billion, three hundred thirty-two million, one hundred thirty-three thousand, three hundred thirteen".