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13130222040221 = 1113293166197743
BaseRepresentation
bin1011111100010001111000…
…1110000111010010011101
31201111020101202020120211012
42333010132032013102131
53210111143320241341
643531535110505005
72523425066600336
oct277043616072235
951436352216735
1013130222040221
114202550045a40
121580884965165
137432368631a0
14335712bad28d
1517b831c5a0eb
hexbf11e38749d

13130222040221 has 16 divisors (see below), whose sum is σ = 15957636629760. Its totient is φ = 10638424413120.

The previous prime is 13130222040203. The next prime is 13130222040253. The reversal of 13130222040221 is 12204022203131.

It is a cyclic number.

It is not a de Polignac number, because 13130222040221 - 226 = 13130154931357 is a prime.

It is a super-3 number, since 3×131302220402213 (a number of 40 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13130222040821) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1583094725 + ... + 1583103018.

It is an arithmetic number, because the mean of its divisors is an integer number (997352289360).

Almost surely, 213130222040221 is an apocalyptic number.

13130222040221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

13130222040221 is a deficient number, since it is larger than the sum of its proper divisors (2827414589539).

13130222040221 is a wasteful number, since it uses less digits than its factorization.

13130222040221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3166197796.

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 13130222040221 its reverse (12204022203131), we get a palindrome (25334244243352).

The spelling of 13130222040221 in words is "thirteen trillion, one hundred thirty billion, two hundred twenty-two million, forty thousand, two hundred twenty-one".

Divisors: 1 11 13 29 143 319 377 4147 3166197743 34828175173 41160570659 91819734547 452766277249 1010017080017 1193656549111 13130222040221