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13030101300320 = 25513191937012437
BaseRepresentation
bin1011110110011100111010…
…0011110011010001100000
31201010122222011102000120022
42331213032203303101200
53201441121413102240
643413540151533012
72513252025416426
oct275471643632140
951118864360508
1013030101300320
1141740425431a5
1215653a268a168
1373696c02ab20
14330935abd116
15178e221209b5
hexbd9ce8f3460

13030101300320 has 384 divisors, whose sum is σ = 35141668248960. Its totient is φ = 4525955481600.

The previous prime is 13030101300311. The next prime is 13030101300329. The reversal of 13030101300320 is 2300310103031.

It is an interprime number because it is at equal distance from previous prime (13030101300311) and next prime (13030101300329).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13030101300329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5346778142 + ... + 5346780578.

It is an arithmetic number, because the mean of its divisors is an integer number (91514761065).

Almost surely, 213030101300320 is an apocalyptic number.

13030101300320 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 13030101300320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17570834124480).

13030101300320 is an abundant number, since it is smaller than the sum of its proper divisors (22111566948640).

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

13030101300320 is a wasteful number, since it uses less digits than its factorization.

13030101300320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3378 (or 3370 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 17.

Adding to 13030101300320 its reverse (2300310103031), we get a palindrome (15330411403351).

The spelling of 13030101300320 in words is "thirteen trillion, thirty billion, one hundred one million, three hundred thousand, three hundred twenty".