311441203103130 has 40 divisors (see below), whose sum is σ = 837430790568372. Its totient is φ = 83050987493952.

The previous prime is 311441203103113. The next prime is 311441203103159. The reversal of 311441203103130 is 31301302144113.

311441203103130 is a `hidden beast` number, since 3 + 1 + 1 + 441 + 203 + 1 + 0 + 3 + 13 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 305317226342241 + 6123976760889 = 17473329^2 + 2474667^2 .

It is a super-3 number, since 3×311441203103130³ (a number of 44 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 311441203103094 and 311441203103103.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 192247655427 + ... + 192247657046.

Almost surely, 2^{311441203103130} is an apocalyptic number.

311441203103130 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

311441203103130 is an abundant number, since it is smaller than the sum of its proper divisors (525989587465242).

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

311441203103130 is a wasteful number, since it uses less digits than its factorization.

311441203103130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384495312492 (or 384495312483 counting only the distinct ones).

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

Adding to 311441203103130 its reverse (31301302144113), we get a palindrome (342742505247243).

The spelling of 311441203103130 in words is "three hundred eleven trillion, four hundred forty-one billion, two hundred three million, one hundred three thousand, one hundred thirty".