2130120113331 has 8 divisors (see below), whose sum is σ = 3245897315584. Its totient is φ = 1217211493320.

The previous prime is 2130120113323. The next prime is 2130120113351. The reversal of 2130120113331 is 1333110210312.

It is a happy number.

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

It is not a de Polignac number, because 2130120113331 - 2³ = 2130120113323 is a prime.

It is a super-3 number, since 3×2130120113331³ (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (21), and also a Moran number because the ratio is a prime number: 101434291111 = 2130120113331 / (2 + 1 + 3 + 0 + 1 + 2 + 0 + 1 + 1 + 3 + 3 + 3 + 1).

It is a junction number, because it is equal to n+sod(n) for n = 2130120113298 and 2130120113307.

It is not an unprimeable number, because it can be changed into a prime (2130120113351) 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, 50717145535 + ... + 50717145576.

It is an arithmetic number, because the mean of its divisors is an integer number (405737164448).

Almost surely, 2^{2130120113331} is an apocalyptic number.

2130120113331 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2130120113331 is a deficient number, since it is larger than the sum of its proper divisors (1115777202253).

2130120113331 is a wasteful number, since it uses less digits than its factorization.

2130120113331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101434291121.

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 2130120113331 its reverse (1333110210312), we get a palindrome (3463230323643).

The spelling of 2130120113331 in words is "two trillion, one hundred thirty billion, one hundred twenty million, one hundred thirteen thousand, three hundred thirty-one".