2130121312133 has 6 divisors (see below), whose sum is σ = 2248133573574. Its totient is φ = 2018009663784.

The previous prime is 2130121312097. The next prime is 2130121312157. The reversal of 2130121312133 is 3312131210312.

It can be written as a sum of positive squares in only one way, i.e., 1962596459329 + 167524852804 = 1400927^2 + 409298^2 .

It is not a de Polignac number, because 2130121312133 - 2⁶ = 2130121312069 is a prime.

It is a super-2 number, since 2×2130121312133² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2130121312099 and 2130121312108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2130121362133) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2950306166 + ... + 2950306887.

It is an arithmetic number, because the mean of its divisors is an integer number (374688928929).

Almost surely, 2^{2130121312133} is an apocalyptic number.

It is an amenable number.

2130121312133 is a deficient number, since it is larger than the sum of its proper divisors (118012261441).

2130121312133 is an equidigital number, since it uses as much as digits as its factorization.

2130121312133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5900613091 (or 5900613072 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 23.

Adding to 2130121312133 its reverse (3312131210312), we get a palindrome (5442252522445).

The spelling of 2130121312133 in words is "two trillion, one hundred thirty billion, one hundred twenty-one million, three hundred twelve thousand, one hundred thirty-three".