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1313391710400 = 263527117694621
BaseRepresentation
bin10011000111001100001…
…111110001000011000000
311122120002112012211100020
4103013030033301003000
5133004311234213100
62443210330253440
7163614033224010
oct23071417610300
94576075184306
101313391710400
11467008420450
12192664287280
1396b10697533
14477d5d5bc40
152426e94e5a0
hex131cc3f10c0

1313391710400 has 672 divisors, whose sum is σ = 5380433963520. Its totient is φ = 272498688000.

The previous prime is 1313391710369. The next prime is 1313391710431. The reversal of 1313391710400 is 40171933131.

It is an interprime number because it is at equal distance from previous prime (1313391710369) and next prime (1313391710431).

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (33).

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 95 ways as a sum of consecutive naturals, for example, 284220090 + ... + 284224710.

It is an arithmetic number, because the mean of its divisors is an integer number (8006598160).

Almost surely, 21313391710400 is an apocalyptic number.

1313391710400 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 1313391710400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2690216981760).

1313391710400 is an abundant number, since it is smaller than the sum of its proper divisors (4067042253120).

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

1313391710400 is a wasteful number, since it uses less digits than its factorization.

1313391710400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5433 (or 5418 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 33.

The spelling of 1313391710400 in words is "one trillion, three hundred thirteen billion, three hundred ninety-one million, seven hundred ten thousand, four hundred".