10101302121313 has 4 divisors (see below), whose sum is σ = 10878325361428. Its totient is φ = 9324278881200.

The previous prime is 10101302121271. The next prime is 10101302121343. The reversal of 10101302121313 is 31312120310101.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 959943374289 + 9141358747024 = 979767^2 + 3023468^2 .

It is a cyclic number.

It is not a de Polignac number, because 10101302121313 - 2²⁵ = 10101268566881 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10101302121343) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 388511620038 + ... + 388511620063.

It is an arithmetic number, because the mean of its divisors is an integer number (2719581340357).

Almost surely, 2^{10101302121313} is an apocalyptic number.

10101302121313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10101302121313 is a deficient number, since it is larger than the sum of its proper divisors (777023240115).

10101302121313 is an equidigital number, since it uses as much as digits as its factorization.

10101302121313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 777023240114.

The product of its (nonzero) digits is 108, while the sum is 19.

Adding to 10101302121313 its reverse (31312120310101), we get a palindrome (41413422431414).

The spelling of 10101302121313 in words is "ten trillion, one hundred one billion, three hundred two million, one hundred twenty-one thousand, three hundred thirteen".