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132121213313013 = 32118192507134371
BaseRepresentation
bin11110000010100111011101…
…111111001001111111110101
3122022210122221112002102210100
4132002213131333021333311
5114304133221102004023
61144555351504544313
736554304555315621
oct3602473577117765
9568718845072710
10132121213313013
1139109323582161
1212999b87022099
135894c914a98c2
14248a9b518c181
151041b98ce6c43
hex7829ddfc9ff5

132121213313013 has 24 divisors (see below), whose sum is σ = 191006832141216. Its totient is φ = 88004621037600.

The previous prime is 132121213313009. The next prime is 132121213313039. The reversal of 132121213313013 is 310313312121231.

132121213313013 is a `hidden beast` number, since 1 + 3 + 2 + 1 + 2 + 1 + 21 + 331 + 301 + 3 = 666.

It is not a de Polignac number, because 132121213313013 - 22 = 132121213313009 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132121213313083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 983189718 + ... + 983324088.

It is an arithmetic number, because the mean of its divisors is an integer number (7958618005884).

Almost surely, 2132121213313013 is an apocalyptic number.

It is an amenable number.

132121213313013 is a deficient number, since it is larger than the sum of its proper divisors (58885618828203).

132121213313013 is a wasteful number, since it uses less digits than its factorization.

132121213313013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228065 (or 228062 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

Adding to 132121213313013 its reverse (310313312121231), we get a palindrome (442434525434244).

The spelling of 132121213313013 in words is "one hundred thirty-two trillion, one hundred twenty-one billion, two hundred thirteen million, three hundred thirteen thousand, thirteen".

Divisors: 1 3 9 1181 3543 10629 92507 134371 277521 403113 832563 1209339 109250767 158692151 327752301 476076453 983256903 1428229359 12430258097 37290774291 111872322873 14680134812557 44040404437671 132121213313013