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131221313021001 = 37137376912101477
BaseRepresentation
bin11101110101100001010111…
…101111111110010001001001
3122012121122010220221001012110
4131311201113233332101021
5114144412222113133001
61143030123342332533
736432266315123130
oct3565412757762111
9565548126831173
10131221313021001
11388a17122a4465
12128736a028a149
13582b169591408
14245920711c917
15102857a4133d6
hex775857bfe449

131221313021001 has 32 divisors (see below), whose sum is σ = 201469278216960. Its totient is φ = 74416526078976.

The previous prime is 131221313020873. The next prime is 131221313021009. The reversal of 131221313021001 is 100120313122131.

It is not a de Polignac number, because 131221313021001 - 27 = 131221313020873 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (131221313021009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4792675 + ... + 16894151.

It is an arithmetic number, because the mean of its divisors is an integer number (6295914944280).

Almost surely, 2131221313021001 is an apocalyptic number.

It is an amenable number.

131221313021001 is a deficient number, since it is larger than the sum of its proper divisors (70247965195959).

131221313021001 is a wasteful number, since it uses less digits than its factorization.

131221313021001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12105393.

The product of its (nonzero) digits is 216, while the sum is 21.

Adding to 131221313021001 its reverse (100120313122131), we get a palindrome (231341626143132).

The spelling of 131221313021001 in words is "one hundred thirty-one trillion, two hundred twenty-one billion, three hundred thirteen million, twenty-one thousand, one".

Divisors: 1 3 7 21 137 411 959 2877 3769 11307 26383 79149 516353 1549059 3614471 10843413 12101477 36304431 84710339 254131017 1657902349 4973707047 11605316443 34815949329 45610466813 136831400439 319273267691 957819803073 6248633953381 18745901860143 43740437673667 131221313021001