1313132323230 has 256 divisors, whose sum is σ = 4426250895360. Its totient is φ = 269568290304.

The previous prime is 1313132323219. The next prime is 1313132323303. The reversal of 1313132323230 is 323232313131.

1313132323230 is a `hidden beast` number, since 1 + 3 + 1 + 313 + 2 + 323 + 23 + 0 = 666.

It is a super-2 number, since 2×1313132323230² (a number of 25 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 = 1313132323194 and 1313132323203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 186867 + ... + 1631313.

It is an arithmetic number, because the mean of its divisors is an integer number (17290042560).

Almost surely, 2^{1313132323230} is an apocalyptic number.

1313132323230 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 1313132323230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2213125447680).

1313132323230 is an abundant number, since it is smaller than the sum of its proper divisors (3113118572130).

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

1313132323230 is a wasteful number, since it uses less digits than its factorization.

1313132323230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1444520 (or 1444514 counting only the distinct ones).

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

Adding to 1313132323230 its reverse (323232313131), we get a palindrome (1636364636361).

The spelling of 1313132323230 in words is "one trillion, three hundred thirteen billion, one hundred thirty-two million, three hundred twenty-three thousand, two hundred thirty".