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1321312013001 = 33791580339199
BaseRepresentation
bin10011001110100100010…
…101010100101011001001
311200022112111122212222000
4103032210111110223021
5133122021333404001
62451000302021213
7164314225541151
oct23164425245311
94608474585860
101321312013001
1146a402203a82
121940b4877809
13977a3554c16
1447d47bdb761
1524584e55a86
hex133a4554ac9

1321312013001 has 32 divisors (see below), whose sum is σ = 1982453760000. Its totient is φ = 869647141584.

The previous prime is 1321312012997. The next prime is 1321312013017. The reversal of 1321312013001 is 1003102131231.

1321312013001 is a `hidden beast` number, since 1 + 32 + 131 + 201 + 300 + 1 = 666.

It is not a de Polignac number, because 1321312013001 - 22 = 1321312012997 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1321312013041) 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 31 ways as a sum of consecutive naturals, for example, 33688200 + ... + 33727398.

It is an arithmetic number, because the mean of its divisors is an integer number (61951680000).

Almost surely, 21321312013001 is an apocalyptic number.

It is an amenable number.

1321312013001 is a deficient number, since it is larger than the sum of its proper divisors (661141746999).

1321312013001 is a wasteful number, since it uses less digits than its factorization.

1321312013001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55090 (or 55084 counting only the distinct ones).

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

Adding to 1321312013001 its reverse (1003102131231), we get a palindrome (2324414144232).

The spelling of 1321312013001 in words is "one trillion, three hundred twenty-one billion, three hundred twelve million, thirteen thousand, one".

Divisors: 1 3 9 27 79 237 711 2133 15803 39199 47409 117597 142227 352791 426681 1058373 1248437 3096721 3745311 9290163 11235933 27870489 33707799 83611467 619461797 1858385391 5575156173 16725468519 48937481963 146812445889 440437337667 1321312013001