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13130111233200 = 24352132828329759
BaseRepresentation
bin1011111100010001011110…
…0111011010110010110000
31201111020010000202000011110
42333010113213122302300
53210110431433430300
643531520111513320
72523422253004653
oct277042747326260
951436100660143
1013130111233200
1142024a3542a95
121580853828840
137432199076c0
143357021a789a
1517b82716d550
hexbf1179dacb0

13130111233200 has 240 divisors, whose sum is σ = 45298640701440. Its totient is φ = 3231804503040.

The previous prime is 13130111233199. The next prime is 13130111233223. The reversal of 13130111233200 is 233211103131.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 441199921 + ... + 441229679.

It is an arithmetic number, because the mean of its divisors is an integer number (188744336256).

Almost surely, 213130111233200 is an apocalyptic number.

13130111233200 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 13130111233200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22649320350720).

13130111233200 is an abundant number, since it is smaller than the sum of its proper divisors (32168529468240).

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

13130111233200 is a wasteful number, since it uses less digits than its factorization.

13130111233200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58076 (or 58065 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 13130111233200 its reverse (233211103131), we get a palindrome (13363322336331).

The spelling of 13130111233200 in words is "thirteen trillion, one hundred thirty billion, one hundred eleven million, two hundred thirty-three thousand, two hundred".