1331132223330 has 384 divisors, whose sum is σ = 4514941057536. Its totient is φ = 264054988800.

The previous prime is 1331132223307. The next prime is 1331132223359. The reversal of 1331132223330 is 333222311331.

1331132223330 is a `hidden beast` number, since 1 + 3 + 3 + 1 + 1 + 322 + 2 + 3 + 330 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1331132223294 and 1331132223303.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 147718525 + ... + 147727535.

It is an arithmetic number, because the mean of its divisors is an integer number (11757659004).

Almost surely, 2^{1331132223330} is an apocalyptic number.

1331132223330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1331132223330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2257470528768).

1331132223330 is an abundant number, since it is smaller than the sum of its proper divisors (3183808834206).

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

1331132223330 is a wasteful number, since it uses less digits than its factorization.

1331132223330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10122 (or 10119 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 1331132223330 its reverse (333222311331), we get a palindrome (1664354534661).

The spelling of 1331132223330 in words is "one trillion, three hundred thirty-one billion, one hundred thirty-two million, two hundred twenty-three thousand, three hundred thirty".