1313949312000 has 1584 divisors, whose sum is σ = 5442425091792. Its totient is φ = 303641395200.

The previous prime is 1313949311989. The next prime is 1313949312007. The reversal of 1313949312000 is 2139493131.

1313949312000 is a `hidden beast` number, since 1 + 31 + 394 + 9 + 31 + 200 + 0 = 666.

It can be written as a sum of positive squares in 24 ways, for example, as 1313205986304 + 743325696 = 1145952^2 + 27264^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1313949312007) 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 143 ways as a sum of consecutive naturals, for example, 3309695802 + ... + 3309696198.

Almost surely, 2^{1313949312000} is an apocalyptic number.

1313949312000 is a gapful number since it is divisible by the number (10) 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 1313949312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2721212545896).

1313949312000 is an abundant number, since it is smaller than the sum of its proper divisors (4128475779792).

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

1313949312000 is a wasteful number, since it uses less digits than its factorization.

1313949312000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 481 (or 437 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The spelling of 1313949312000 in words is "one trillion, three hundred thirteen billion, nine hundred forty-nine million, three hundred twelve thousand".