10121010313 has 4 divisors (see below), whose sum is σ = 10234729620. Its totient is φ = 10007291008.

The previous prime is 10121010301. The next prime is 10121010329. The reversal of 10121010313 is 31301012101.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 31301012101 = 6551 ⋅4778051.

It can be written as a sum of positive squares in 2 ways, for example, as 4793762169 + 5327248144 = 69237^2 + 72988^2 .

It is not a de Polignac number, because 10121010313 - 2²⁹ = 9584139401 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10121010293 and 10121010302.

It is not an unprimeable number, because it can be changed into a prime (10121010013) 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, 56859520 + ... + 56859697.

It is an arithmetic number, because the mean of its divisors is an integer number (2558682405).

Almost surely, 2^10121010313 is an apocalyptic number.

It is an amenable number.

10121010313 is a deficient number, since it is larger than the sum of its proper divisors (113719307).

10121010313 is an equidigital number, since it uses as much as digits as its factorization.

10121010313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113719306.

The product of its (nonzero) digits is 18, while the sum is 13.

Adding to 10121010313 its reverse (31301012101), we get a palindrome (41422022414).

The spelling of 10121010313 in words is "ten billion, one hundred twenty-one million, ten thousand, three hundred thirteen".