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13101310003320 = 23325711607778633
BaseRepresentation
bin1011111010100110001011…
…1011011100100001111000
31201101110202211010221020200
42332221202323130201320
53204122440330101240
643510354141322200
72521352450412510
oct276514273344170
951343684127220
1013101310003320
1141a1263a45770
121577156266360
137405a99c6046
1433416d04c840
1517abdd8da930
hexbea62edc878

13101310003320 has 384 divisors, whose sum is σ = 53173351895040. Its totient is φ = 2717861713920.

The previous prime is 13101310003319. The next prime is 13101310003337. The reversal of 13101310003320 is 2330001310131.

It is a happy number.

13101310003320 is a `hidden beast` number, since 1 + 31 + 0 + 1 + 310 + 0 + 0 + 3 + 320 = 666.

It is a super-2 number, since 2×131013100033202 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 13101310003293 and 13101310003302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16436724 + ... + 17215356.

It is an arithmetic number, because the mean of its divisors is an integer number (138472270560).

Almost surely, 213101310003320 is an apocalyptic number.

13101310003320 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 13101310003320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26586675947520).

13101310003320 is an abundant number, since it is smaller than the sum of its proper divisors (40072041891720).

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

13101310003320 is a wasteful number, since it uses less digits than its factorization.

13101310003320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 779275 (or 779268 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 13101310003320 its reverse (2330001310131), we get a palindrome (15431311313451).

The spelling of 13101310003320 in words is "thirteen trillion, one hundred one billion, three hundred ten million, three thousand, three hundred twenty".