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13020020131320 = 23325103373993911
BaseRepresentation
bin1011110101110111010110…
…1011001100010111111000
31201002200221120220120111200
42331131311223030113320
53201310000123200240
643405151545254200
72512444144042236
oct275356553142770
951080846816450
1013020020131320
11416a839a29774
12156344a494360
13735a23591177
1433025ac6b956
15178a3207c930
hexbd775acc5f8

13020020131320 has 192 divisors, whose sum is σ = 42737773478400. Its totient is φ = 3437340399360.

The previous prime is 13020020131319. The next prime is 13020020131357. The reversal of 13020020131320 is 2313102002031.

13020020131320 is a `hidden beast` number, since 13 + 0 + 200 + 2 + 0 + 131 + 320 = 666.

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 = 13020020131293 and 13020020131302.

It is a congruent number.

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, 138595165 + ... + 138689075.

It is an arithmetic number, because the mean of its divisors is an integer number (222592570200).

Almost surely, 213020020131320 is an apocalyptic number.

13020020131320 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 13020020131320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21368886739200).

13020020131320 is an abundant number, since it is smaller than the sum of its proper divisors (29717753347080).

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

13020020131320 is a wasteful number, since it uses less digits than its factorization.

13020020131320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97770 (or 97763 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 13020020131320 its reverse (2313102002031), we get a palindrome (15333122133351).

The spelling of 13020020131320 in words is "thirteen trillion, twenty billion, twenty million, one hundred thirty-one thousand, three hundred twenty".