102220321313 has 16 divisors (see below), whose sum is σ = 112008407040. Its totient is φ = 92515592400.

The previous prime is 102220321283. The next prime is 102220321339. The reversal of 102220321313 is 313123022201.

It is not a de Polignac number, because 102220321313 - 2²⁴ = 102203544097 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102220321913) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2598356 + ... + 2637402.

It is an arithmetic number, because the mean of its divisors is an integer number (7000525440).

Almost surely, 2^102220321313 is an apocalyptic number.

It is an amenable number.

102220321313 is a deficient number, since it is larger than the sum of its proper divisors (9788085727).

102220321313 is a wasteful number, since it uses less digits than its factorization.

102220321313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40108.

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 102220321313 its reverse (313123022201), we get a palindrome (415343343514).

The spelling of 102220321313 in words is "one hundred two billion, two hundred twenty million, three hundred twenty-one thousand, three hundred thirteen".