102132220313 has 2 divisors, whose sum is σ = 102132220314. Its totient is φ = 102132220312.

The previous prime is 102132220301. The next prime is 102132220319. The reversal of 102132220313 is 313022231201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 56564060224 + 45568160089 = 237832^2 + 213467^2 .

It is a cyclic number.

It is not a de Polignac number, because 102132220313 - 2²² = 102128026009 is a prime.

It is not a weakly prime, because it can be changed into another prime (102132220319) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51066110156 + 51066110157.

It is an arithmetic number, because the mean of its divisors is an integer number (51066110157).

Almost surely, 2^102132220313 is an apocalyptic number.

It is an amenable number.

102132220313 is a deficient number, since it is larger than the sum of its proper divisors (1).

102132220313 is an equidigital number, since it uses as much as digits as its factorization.

102132220313 is an evil number, because the sum of its binary digits is even.

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

Adding to 102132220313 its reverse (313022231201), we get a palindrome (415154451514).

The spelling of 102132220313 in words is "one hundred two billion, one hundred thirty-two million, two hundred twenty thousand, three hundred thirteen".