2130122101313 has 8 divisors (see below), whose sum is σ = 2182361004936. Its totient is φ = 2077896755200.

The previous prime is 2130122101259. The next prime is 2130122101319. The reversal of 2130122101313 is 3131012210312.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 60963560464 + 2069158540849 = 246908^2 + 1438457^2 .

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 2130122101313 - 2²⁴ = 2130105324097 is a prime.

It is a super-2 number, since 2×2130122101313² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2130122101319) 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, 3070928 + ... + 3700113.

It is an arithmetic number, because the mean of its divisors is an integer number (272795125617).

Almost surely, 2^{2130122101313} is an apocalyptic number.

It is an amenable number.

2130122101313 is a deficient number, since it is larger than the sum of its proper divisors (52238903623).

2130122101313 is an equidigital number, since it uses as much as digits as its factorization.

2130122101313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6778755.

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 2130122101313 its reverse (3131012210312), we get a palindrome (5261134311625).

The spelling of 2130122101313 in words is "two trillion, one hundred thirty billion, one hundred twenty-two million, one hundred one thousand, three hundred thirteen".