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13132131200 = 275219435023
BaseRepresentation
bin11000011101011110…
…00110101110000000
31020220012102101101122
430032233012232000
5203343311144300
610011031051412
7643266162536
oct141657065600
936805371348
1013132131200
1156298225a1
122665b10b68
131313885546
148c8122156
1551cd51c85
hex30ebc6b80

13132131200 has 192 divisors, whose sum is σ = 34948953600. Its totient is φ = 4859688960.

The previous prime is 13132131169. The next prime is 13132131217. The reversal of 13132131200 is 213123131.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2611889 + ... + 2616911.

It is an arithmetic number, because the mean of its divisors is an integer number (182025800).

Almost surely, 213132131200 is an apocalyptic number.

13132131200 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 13132131200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17474476800).

13132131200 is an abundant number, since it is smaller than the sum of its proper divisors (21816822400).

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

13132131200 is a wasteful number, since it uses less digits than its factorization.

13132131200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5109 (or 5092 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 13132131200 its reverse (213123131), we get a palindrome (13345254331).

The spelling of 13132131200 in words is "thirteen billion, one hundred thirty-two million, one hundred thirty-one thousand, two hundred".