102021312133 has 8 divisors (see below), whose sum is σ = 111374162648. Its totient is φ = 92883469824.

The previous prime is 102021312097. The next prime is 102021312137. The reversal of 102021312133 is 331213120201.

It can be written as a sum of positive squares in 4 ways, for example, as 3655653444 + 98365658689 = 60462^2 + 313633^2 .

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 102021312133 - 2¹⁷ = 102021181061 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 102021312133.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102021312137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 53751060 + ... + 53752957.

It is an arithmetic number, because the mean of its divisors is an integer number (13921770331).

Almost surely, 2^102021312133 is an apocalyptic number.

102021312133 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

102021312133 is a deficient number, since it is larger than the sum of its proper divisors (9352850515).

102021312133 is a wasteful number, since it uses less digits than its factorization.

102021312133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107504103.

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 102021312133 its reverse (331213120201), we get a palindrome (433234432334).

The spelling of 102021312133 in words is "one hundred two billion, twenty-one million, three hundred twelve thousand, one hundred thirty-three".