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13131031221 = 3272114757593
BaseRepresentation
bin11000011101010101…
…11010001010110101
31020220010100111111200
430032222322022311
5203343020444341
610010551323113
7643253631600
oct141652721265
936803314450
1013131031221
115629141120
122665680499
13131358b979
148c7d17337
1551cbd5db6
hex30eaba2b5

13131031221 has 72 divisors (see below), whose sum is σ = 24582040704. Its totient is φ = 6676064640.

The previous prime is 13131031211. The next prime is 13131031231. The reversal of 13131031221 is 12213013131.

13131031221 is a `hidden beast` number, since 131 + 310 + 3 + 1 + 221 = 666.

It is an interprime number because it is at equal distance from previous prime (13131031211) and next prime (13131031231).

It is not a de Polignac number, because 13131031221 - 25 = 13131031189 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13131031194 and 13131031203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13131031211) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 199201 + ... + 256793.

It is an arithmetic number, because the mean of its divisors is an integer number (341417232).

Almost surely, 213131031221 is an apocalyptic number.

13131031221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

13131031221 is a deficient number, since it is larger than the sum of its proper divisors (11451009483).

13131031221 is a wasteful number, since it uses less digits than its factorization.

13131031221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57671 (or 57661 counting only the distinct ones).

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

Adding to 13131031221 its reverse (12213013131), we get a palindrome (25344044352).

The spelling of 13131031221 in words is "thirteen billion, one hundred thirty-one million, thirty-one thousand, two hundred twenty-one".

Divisors: 1 3 7 9 11 21 33 47 49 63 77 99 141 147 231 329 423 441 517 539 693 987 1551 1617 2303 2961 3619 4653 4851 6909 10857 20727 25333 32571 57593 75999 172779 227997 403151 518337 633523 1209453 1900569 2706871 2822057 3628359 4434661 5701707 8120613 8466171 13303983 18948097 24361839 25398513 29775581 31042627 39911949 56844291 89326743 93127881 132636679 170532873 208429067 267980229 279383643 397910037 625287201 1193730111 1459003469 1875861603 4377010407 13131031221