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13132000332000 = 2532531133161617
BaseRepresentation
bin1011111100011000100000…
…1101110000100011100000
31201111101222200102011112200
42333012020031300203200
53210123314041111000
643532431353453200
72523520132042434
oct277061015604340
951441880364480
1013132000332000
114203282922970
1215810a0411200
1374345b0c2444
143358410349c4
1517b8d7e26500
hexbf1883708e0

13132000332000 has 288 divisors, whose sum is σ = 50842331545824. Its totient is φ = 3183515136000.

The previous prime is 13132000331999. The next prime is 13132000332013. The reversal of 13132000332000 is 23300023131.

13132000332000 is a `hidden beast` number, since 1 + 313 + 20 + 0 + 0 + 332 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×131320003320002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 16184809 + ... + 16976808.

It is an arithmetic number, because the mean of its divisors is an integer number (176535873423).

Almost surely, 213132000332000 is an apocalyptic number.

13132000332000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13132000332000 is an abundant number, since it is smaller than the sum of its proper divisors (37710331213824).

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

13132000332000 is a wasteful number, since it uses less digits than its factorization.

13132000332000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33161659 (or 33161638 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 13132000332000 its reverse (23300023131), we get a palindrome (13155300355131).

The spelling of 13132000332000 in words is "thirteen trillion, one hundred thirty-two billion, three hundred thirty-two thousand".