1130312320032 has 288 divisors, whose sum is σ = 3534991891200. Its totient is φ = 315147151872.

The previous prime is 1130312319979. The next prime is 1130312320043. The reversal of 1130312320032 is 2300232130311.

It is a super-2 number, since 2×1130312320032² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 1130312319990 and 1130312320008.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 319385719 + ... + 319389257.

It is an arithmetic number, because the mean of its divisors is an integer number (12274277400).

Almost surely, 2^{1130312320032} is an apocalyptic number.

1130312320032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1130312320032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1767495945600).

1130312320032 is an abundant number, since it is smaller than the sum of its proper divisors (2404679571168).

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

1130312320032 is a wasteful number, since it uses less digits than its factorization.

1130312320032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5188 (or 5173 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 1130312320032 its reverse (2300232130311), we get a palindrome (3430544450343).

The spelling of 1130312320032 in words is "one trillion, one hundred thirty billion, three hundred twelve million, three hundred twenty thousand, thirty-two".