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13131010200 = 233527211192137
BaseRepresentation
bin11000011101010101…
…10101000010011000
31020220010022102200010
430032222311002120
5203343014311300
610010551041520
7643253513400
oct141652650230
936803272603
1013131010200
115629127350
1226656702a0
131313582229
148c7d0d800
1551cbcea50
hex30eab5098

13131010200 has 576 divisors, whose sum is σ = 54400982400. Its totient is φ = 2583705600.

The previous prime is 13131010159. The next prime is 13131010229. The reversal of 13131010200 is 201013131.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 6143532 + ... + 6145668.

It is an arithmetic number, because the mean of its divisors is an integer number (94446150).

Almost surely, 213131010200 is an apocalyptic number.

13131010200 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 13131010200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27200491200).

13131010200 is an abundant number, since it is smaller than the sum of its proper divisors (41269972200).

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

13131010200 is a wasteful number, since it uses less digits than its factorization.

13131010200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2200 (or 2184 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 13131010200 its reverse (201013131), we get a palindrome (13332023331).

The spelling of 13131010200 in words is "thirteen billion, one hundred thirty-one million, ten thousand, two hundred".