101002223302313 has 2 divisors, whose sum is σ = 101002223302314. Its totient is φ = 101002223302312.

The previous prime is 101002223302307. The next prime is 101002223302333. The reversal of 101002223302313 is 313203322200101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 93885770744089 + 7116452558224 = 9689467^2 + 2667668^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101002223302313 is a prime.

It is a super-2 number, since 2×101002223302313² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (101002223302303) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50501111651156 + 50501111651157.

It is an arithmetic number, because the mean of its divisors is an integer number (50501111651157).

Almost surely, 2^{101002223302313} is an apocalyptic number.

It is an amenable number.

101002223302313 is a deficient number, since it is larger than the sum of its proper divisors (1).

101002223302313 is an equidigital number, since it uses as much as digits as its factorization.

101002223302313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 101002223302313 its reverse (313203322200101), we get a palindrome (414205545502414).

The spelling of 101002223302313 in words is "one hundred one trillion, two billion, two hundred twenty-three million, three hundred two thousand, three hundred thirteen".