10102101013313 has 8 divisors (see below), whose sum is σ = 10276063826280. Its totient is φ = 9928407703680.

The previous prime is 10102101013267. The next prime is 10102101013369. The reversal of 10102101013313 is 31331010120101.

It can be written as a sum of positive squares in 4 ways, for example, as 1658962032049 + 8443138981264 = 1288007^2 + 2905708^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10102101013313 - 2²⁸ = 10101832577857 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10102101013291 and 10102101013300.

It is not an unprimeable number, because it can be changed into a prime (10102101012313) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 67300220 + ... + 67450157.

It is an arithmetic number, because the mean of its divisors is an integer number (1284507978285).

Almost surely, 2^{10102101013313} is an apocalyptic number.

It is an amenable number.

10102101013313 is a deficient number, since it is larger than the sum of its proper divisors (173962812967).

10102101013313 is a wasteful number, since it uses less digits than its factorization.

10102101013313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134751667.

The product of its (nonzero) digits is 54, while the sum is 17.

Adding to 10102101013313 its reverse (31331010120101), we get a palindrome (41433111133414).

The spelling of 10102101013313 in words is "ten trillion, one hundred two billion, one hundred one million, thirteen thousand, three hundred thirteen".