2130314302116 has 288 divisors, whose sum is σ = 7547969439360. Its totient is φ = 510764486400.

The previous prime is 2130314302093. The next prime is 2130314302117. The reversal of 2130314302116 is 6112034130312.

It is a happy number.

2130314302116 is a `hidden beast` number, since 2 + 1 + 30 + 314 + 302 + 1 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 2130314302116.

It is not an unprimeable number, because it can be changed into a prime (2130314302117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 650775 + ... + 2164286.

It is an arithmetic number, because the mean of its divisors is an integer number (26208227220).

Almost surely, 2^{2130314302116} is an apocalyptic number.

2130314302116 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

2130314302116 is an abundant number, since it is smaller than the sum of its proper divisors (5417655137244).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2130314302116 is a wasteful number, since it uses less digits than its factorization.

2130314302116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2815112 (or 2815097 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 2130314302116 its reverse (6112034130312), we get a palindrome (8242348432428).

The spelling of 2130314302116 in words is "two trillion, one hundred thirty billion, three hundred fourteen million, three hundred two thousand, one hundred sixteen".