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12132101131311 = 37282531300213
BaseRepresentation
bin1011000010001011100110…
…0101000000110000101111
31120221211001222122212201110
42300202321211000300233
53042233020342200221
641445224343443103
72361341530055100
oct260427145006057
946854058585643
1012132101131311
113958216894a97
12143b348156493
136a008a98a185
142dd2a814a3a7
151608b5471776
hexb08b9940c2f

12132101131311 has 12 divisors (see below), whose sum is σ = 18817136448792. Its totient is φ = 6932629217808.

The previous prime is 12132101131303. The next prime is 12132101131357. The reversal of 12132101131311 is 11313110123121.

It is not a de Polignac number, because 12132101131311 - 23 = 12132101131303 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12132101111311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 41265649960 + ... + 41265650253.

It is an arithmetic number, because the mean of its divisors is an integer number (1568094704066).

Almost surely, 212132101131311 is an apocalyptic number.

12132101131311 is a deficient number, since it is larger than the sum of its proper divisors (6685035317481).

12132101131311 is an equidigital number, since it uses as much as digits as its factorization.

12132101131311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82531300230 (or 82531300223 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 21.

Adding to 12132101131311 its reverse (11313110123121), we get a palindrome (23445211254432).

The spelling of 12132101131311 in words is "twelve trillion, one hundred thirty-two billion, one hundred one million, one hundred thirty-one thousand, three hundred eleven".

Divisors: 1 3 7 21 49 147 82531300213 247593900639 577719101491 1733157304473 4044033710437 12132101131311