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13013231121 = 3311417511423
BaseRepresentation
bin11000001111010011…
…00010011000010001
31020120220200122011000
430013221202120101
5203122341343441
65551142412213
7640323432222
oct140751423021
936526618130
1013013231121
1155786a2170
122632131069
1312c5055177
148b6411249
155126b72b6
hex307a62611

13013231121 has 64 divisors (see below), whose sum is σ = 21588295680. Its totient is φ = 7678800000.

The previous prime is 13013231117. The next prime is 13013231137. The reversal of 13013231121 is 12113231031.

13013231121 is a `hidden beast` number, since 1 + 301 + 32 + 311 + 21 = 666.

It is not a de Polignac number, because 13013231121 - 22 = 13013231117 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13013231094 and 13013231103.

It is not an unprimeable number, because it can be changed into a prime (13013231141) 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, 9144216 + ... + 9145638.

It is an arithmetic number, because the mean of its divisors is an integer number (337317120).

Almost surely, 213013231121 is an apocalyptic number.

13013231121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

13013231121 is a deficient number, since it is larger than the sum of its proper divisors (8575064559).

13013231121 is a wasteful number, since it uses less digits than its factorization.

13013231121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2235 (or 2229 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 13013231121 its reverse (12113231031), we get a palindrome (25126462152).

The spelling of 13013231121 in words is "thirteen billion, thirteen million, two hundred thirty-one thousand, one hundred twenty-one".

Divisors: 1 3 9 11 27 33 41 99 123 297 369 451 751 1107 1353 1423 2253 4059 4269 6759 8261 12177 12807 15653 20277 24783 30791 38421 46959 58343 74349 92373 140877 175029 223047 277119 338701 422631 525087 641773 831357 1016103 1068673 1575261 1925319 3048309 3206019 5775957 9144927 9618057 11755403 17327871 28854171 35266209 43815593 105798627 131446779 317395881 394340337 481971523 1183021011 1445914569 4337743707 13013231121