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131221331114121 = 3313934964383457
BaseRepresentation
bin11101110101100001011000…
…110100111111100010001001
3122012121122012011222021022000
4131311201120310333202021
5114144412241231122441
61143030125230221213
736432266624660553
oct3565413064774211
9565548164867260
10131221331114121
11388a1721532056
12128736a6354809
13582b1702578c1
1424592096ac4d3
15102857bcd92b6
hex775858d3f889

131221331114121 has 16 divisors (see below), whose sum is σ = 195800547364800. Its totient is φ = 86851528504704.

The previous prime is 131221331114119. The next prime is 131221331114123. The reversal of 131221331114121 is 121411133122131.

131221331114121 is a `hidden beast` number, since 1 + 3 + 1 + 2 + 2 + 133 + 111 + 412 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (131221331114119) and next prime (131221331114123).

It is not a de Polignac number, because 131221331114121 - 21 = 131221331114119 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (131221331114123) 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, 17482187976 + ... + 17482195481.

It is an arithmetic number, because the mean of its divisors is an integer number (12237534210300).

Almost surely, 2131221331114121 is an apocalyptic number.

It is an amenable number.

131221331114121 is a deficient number, since it is larger than the sum of its proper divisors (64579216250679).

131221331114121 is a wasteful number, since it uses less digits than its factorization.

131221331114121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34964383605 (or 34964383599 counting only the distinct ones).

The product of its digits is 864, while the sum is 27.

Adding to 131221331114121 its reverse (121411133122131), we get a palindrome (252632464236252).

The spelling of 131221331114121 in words is "one hundred thirty-one trillion, two hundred twenty-one billion, three hundred thirty-one million, one hundred fourteen thousand, one hundred twenty-one".

Divisors: 1 3 9 27 139 417 1251 3753 34964383457 104893150371 314679451113 944038353339 4860049300523 14580147901569 43740443704707 131221331114121