1313465472000 has 528 divisors, whose sum is σ = 5163506472384. Its totient is φ = 318412800000.

The previous prime is 1313465471999. The next prime is 1313465472017. The reversal of 1313465472000 is 2745643131.

1313465472000 is a `hidden beast` number, since 131 + 3 + 465 + 47 + 20 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (528).

It is a super-2 number, since 2×1313465472000² (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12620175 + ... + 12723825.

Almost surely, 2^{1313465472000} is an apocalyptic number.

1313465472000 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 1313465472000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2581753236192).

1313465472000 is an abundant number, since it is smaller than the sum of its proper divisors (3850041000384).

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

1313465472000 is a wasteful number, since it uses less digits than its factorization.

1313465472000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103703 (or 103672 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 1313465472000 in words is "one trillion, three hundred thirteen billion, four hundred sixty-five million, four hundred seventy-two thousand".