102042221313 has 12 divisors (see below), whose sum is σ = 143594041488. Its totient is φ = 64447718040.

The previous prime is 102042221293. The next prime is 102042221317. The reversal of 102042221313 is 313122240201.

It is not a de Polignac number, because 102042221313 - 2⁶ = 102042221249 is a prime.

It is a super-3 number, since 3×102042221313³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 102042221313.

It is not an unprimeable number, because it can be changed into a prime (102042221317) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 47109823 + ... + 47111988.

It is an arithmetic number, because the mean of its divisors is an integer number (11966170124).

Almost surely, 2^102042221313 is an apocalyptic number.

It is an amenable number.

102042221313 is a deficient number, since it is larger than the sum of its proper divisors (41551820175).

102042221313 is an equidigital number, since it uses as much as digits as its factorization.

102042221313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94221852 (or 94221833 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 102042221313 its reverse (313122240201), we get a palindrome (415164461514).

The spelling of 102042221313 in words is "one hundred two billion, forty-two million, two hundred twenty-one thousand, three hundred thirteen".