3113133231330 has 128 divisors (see below), whose sum is σ = 8589097440000. Its totient is φ = 801435608064.

The previous prime is 3113133231293. The next prime is 3113133231409. The reversal of 3113133231330 is 331323313113.

3113133231330 is a `hidden beast` number, since 3 + 1 + 1 + 3 + 1 + 3 + 323 + 1 + 330 = 666.

3113133231330 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3113133231330² (a number of 26 digits) contains 22 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 = 3113133231294 and 3113133231303.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 70910026 + ... + 70953914.

It is an arithmetic number, because the mean of its divisors is an integer number (67102323750).

Almost surely, 2^{3113133231330} is an apocalyptic number.

3113133231330 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3113133231330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4294548720000).

3113133231330 is an abundant number, since it is smaller than the sum of its proper divisors (5475964208670).

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

3113133231330 is a wasteful number, since it uses less digits than its factorization.

3113133231330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52993 (or 52987 counting only the distinct ones).

The product of its (nonzero) digits is 4374, while the sum is 27.

Adding to 3113133231330 its reverse (331323313113), we get a palindrome (3444456544443).

The spelling of 3113133231330 in words is "three trillion, one hundred thirteen billion, one hundred thirty-three million, two hundred thirty-one thousand, three hundred thirty".