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13113022253331 = 37111331313950929
BaseRepresentation
bin1011111011010001110100…
…0010001000100100010011
31201102121000001210212211010
42332310131002020210103
53204320432144101311
643520012251422003
72522245626040140
oct276643502104423
951377001725733
1013113022253331
1141a622422a530
121579484754903
1374172535b7b0
143349607653c7
1517b176c6bda6
hexbed1d088913

13113022253331 has 64 divisors (see below), whose sum is σ = 23550062699520. Its totient is φ = 6267872931840.

The previous prime is 13113022253327. The next prime is 13113022253351. The reversal of 13113022253331 is 13335222031131.

It is a happy number.

It is not a de Polignac number, because 13113022253331 - 22 = 13113022253327 is a prime.

It is a super-2 number, since 2×131130222533312 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13113022253311) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6035526 + ... + 7915403.

It is an arithmetic number, because the mean of its divisors is an integer number (367969729680).

Almost surely, 213113022253331 is an apocalyptic number.

13113022253331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13113022253331 is a deficient number, since it is larger than the sum of its proper divisors (10437040446189).

13113022253331 is a wasteful number, since it uses less digits than its factorization.

13113022253331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13951276.

The product of its (nonzero) digits is 9720, while the sum is 30.

Adding to 13113022253331 its reverse (13335222031131), we get a palindrome (26448244284462).

The spelling of 13113022253331 in words is "thirteen trillion, one hundred thirteen billion, twenty-two million, two hundred fifty-three thousand, three hundred thirty-one".

Divisors: 1 3 7 11 13 21 33 39 77 91 143 231 273 313 429 939 1001 2191 3003 3443 4069 6573 10329 12207 24101 28483 44759 72303 85449 134277 313313 939939 13950929 41852787 97656503 153460219 181362077 292969509 460380657 544086231 1074221533 1269534539 1994982847 3222664599 3808603617 4366640777 5984948541 13099922331 13964879929 30566485439 41894639787 48033048547 56766330101 91699456317 144099145641 170298990303 336231339829 397364310707 624429631111 1008694019487 1192092932121 1873288893333 4371007417777 13113022253331