1000101022313 has 2 divisors, whose sum is σ = 1000101022314. Its totient is φ = 1000101022312.

The previous prime is 1000101022303. The next prime is 1000101022369. The reversal of 1000101022313 is 3132201010001.

1000101022313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 996818534464 + 3282487849 = 998408^2 + 57293^2 .

It is a cyclic number.

It is not a de Polignac number, because 1000101022313 - 2²⁶ = 1000033913449 is a prime.

It is not a weakly prime, because it can be changed into another prime (1000101022303) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500050511156 + 500050511157.

It is an arithmetic number, because the mean of its divisors is an integer number (500050511157).

Almost surely, 2^{1000101022313} is an apocalyptic number.

It is an amenable number.

1000101022313 is a deficient number, since it is larger than the sum of its proper divisors (1).

1000101022313 is an equidigital number, since it uses as much as digits as its factorization.

1000101022313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 1000101022313 its reverse (3132201010001), we get a palindrome (4132302032314).

The spelling of 1000101022313 in words is "one trillion, one hundred one million, twenty-two thousand, three hundred thirteen".