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13133213120 = 26541041291
BaseRepresentation
bin11000011101100110…
…01110110111000000
31020220021110100111202
430032303032313000
5203344100304440
610011110200332
7643311320036
oct141663166700
936807410452
1013133213120
11562a3a1445
1226663530a8
131313b73b31
148c8324556
1551ceb7615
hex30eccedc0

13133213120 has 28 divisors (see below), whose sum is σ = 31273464504. Its totient is φ = 5253285120.

The previous prime is 13133213101. The next prime is 13133213173. The reversal of 13133213120 is 2131233131.

13133213120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 13133213092 and 13133213101.

It is a congruent number.

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 3 ways as a sum of consecutive naturals, for example, 20520326 + ... + 20520965.

Almost surely, 213133213120 is an apocalyptic number.

13133213120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13133213120 is an abundant number, since it is smaller than the sum of its proper divisors (18140251384).

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

13133213120 is an equidigital number, since it uses as much as digits as its factorization.

13133213120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41041308 (or 41041298 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 13133213120 its reverse (2131233131), we get a palindrome (15264446251).

The spelling of 13133213120 in words is "thirteen billion, one hundred thirty-three million, two hundred thirteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 41041291 82082582 164165164 205206455 328330328 410412910 656660656 820825820 1313321312 1641651640 2626642624 3283303280 6566606560 13133213120