102022013113 has 8 divisors (see below), whose sum is σ = 108046235880. Its totient is φ = 96000337920.

The previous prime is 102022013089. The next prime is 102022013153. The reversal of 102022013113 is 311310220201.

It can be written as a sum of positive squares in 4 ways, for example, as 23866542144 + 78155470969 = 154488^2 + 279563^2 .

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 102022013113 - 2⁹ = 102022012601 is a prime.

It is a super-3 number, since 3×102022013113³ (a number of 34 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102022013153) 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, 554128 + ... + 714913.

It is an arithmetic number, because the mean of its divisors is an integer number (13505779485).

Almost surely, 2^102022013113 is an apocalyptic number.

It is an amenable number.

102022013113 is a deficient number, since it is larger than the sum of its proper divisors (6024222767).

102022013113 is a wasteful number, since it uses less digits than its factorization.

102022013113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1273787.

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 102022013113 its reverse (311310220201), we get a palindrome (413332233314).

The spelling of 102022013113 in words is "one hundred two billion, twenty-two million, thirteen thousand, one hundred thirteen".