101102103313 has 2 divisors, whose sum is σ = 101102103314. Its totient is φ = 101102103312.

The previous prime is 101102103259. The next prime is 101102103337. The reversal of 101102103313 is 313301201101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 69741943569 + 31360159744 = 264087^2 + 177088^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101102103313 is a prime.

It is not a weakly prime, because it can be changed into another prime (101102103013) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50551051656 + 50551051657.

It is an arithmetic number, because the mean of its divisors is an integer number (50551051657).

Almost surely, 2^101102103313 is an apocalyptic number.

It is an amenable number.

101102103313 is a deficient number, since it is larger than the sum of its proper divisors (1).

101102103313 is an equidigital number, since it uses as much as digits as its factorization.

101102103313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 101102103313 its reverse (313301201101), we get a palindrome (414403304414).

The spelling of 101102103313 in words is "one hundred one billion, one hundred two million, one hundred three thousand, three hundred thirteen".