1313122182048 has 432 divisors, whose sum is σ = 4072333618080. Its totient is φ = 400998491136.

The previous prime is 1313122182019. The next prime is 1313122182061. The reversal of 1313122182048 is 8402812213131.

1313122182048 is a `hidden beast` number, since 1 + 313 + 1 + 221 + 82 + 0 + 48 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 688579111 + ... + 688581017.

It is an arithmetic number, because the mean of its divisors is an integer number (9426698190).

Almost surely, 2^{1313122182048} is an apocalyptic number.

1313122182048 is a gapful number since it is divisible by the number (18) 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 1313122182048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2036166809040).

1313122182048 is an abundant number, since it is smaller than the sum of its proper divisors (2759211436032).

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

1313122182048 is a wasteful number, since it uses less digits than its factorization.

1313122182048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2177 (or 2147 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

Adding to 1313122182048 its reverse (8402812213131), we get a palindrome (9715934395179).

The spelling of 1313122182048 in words is "one trillion, three hundred thirteen billion, one hundred twenty-two million, one hundred eighty-two thousand, forty-eight".