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21313201132301 = 133122477688741
BaseRepresentation
bin1001101100010010111011…
…10010000101001100001101
32210110112002122001221222212
410312021131302011030031
510243143413442213201
6113155052135520205
74326553664332421
oct466113562051415
983415078057885
1021313201132301
116877972450321
122482783b29065
13bb7a98342660
145397c8b6ab81
1526e612bdcabb
hex13625dc8530d

21313201132301 has 24 divisors (see below), whose sum is σ = 23726580601752. Its totient is φ = 19031373878400.

The previous prime is 21313201132283. The next prime is 21313201132309. The reversal of 21313201132301 is 10323110231312.

It can be written as a sum of positive squares in 4 ways, for example, as 341609856676 + 20971591275625 = 584474^2 + 4579475^2 .

It is not a de Polignac number, because 21313201132301 - 234 = 21296021263117 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21313201132309) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30600791 + ... + 31289531.

It is an arithmetic number, because the mean of its divisors is an integer number (988607525073).

Almost surely, 221313201132301 is an apocalyptic number.

It is an amenable number.

21313201132301 is a deficient number, since it is larger than the sum of its proper divisors (2413379469451).

21313201132301 is a wasteful number, since it uses less digits than its factorization.

21313201132301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 691293 (or 691262 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 23.

Adding to 21313201132301 its reverse (10323110231312), we get a palindrome (31636311363613).

The spelling of 21313201132301 in words is "twenty-one trillion, three hundred thirteen billion, two hundred one million, one hundred thirty-two thousand, three hundred one".

Divisors: 1 13 31 403 961 2477 12493 32201 76787 688741 998231 2380397 8953633 21350971 30945161 277562623 661880101 1706011457 8604441313 22178148941 52886355167 687522617171 1639477010177 21313201132301