1313131189248 has 132 divisors (see below), whose sum is σ = 3820585124928. Its totient is φ = 434368696320.

The previous prime is 1313131189243. The next prime is 1313131189289. The reversal of 1313131189248 is 8429811313131.

1313131189248 is a `hidden beast` number, since 1 + 3 + 1 + 313 + 11 + 89 + 248 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1313131189243) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 663465 + ... + 1751127.

It is an arithmetic number, because the mean of its divisors is an integer number (28943826704).

Almost surely, 2^{1313131189248} is an apocalyptic number.

1313131189248 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 1313131189248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1910292562464).

1313131189248 is an abundant number, since it is smaller than the sum of its proper divisors (2507453935680).

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

1313131189248 is a wasteful number, since it uses less digits than its factorization.

1313131189248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1087820 (or 1087799 counting only the distinct ones).

The product of its digits is 124416, while the sum is 45.

The spelling of 1313131189248 in words is "one trillion, three hundred thirteen billion, one hundred thirty-one million, one hundred eighty-nine thousand, two hundred forty-eight".