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1330131000213 = 3447615727719
BaseRepresentation
bin10011010110110001111…
…111000101101110010101
311201011022010010212010000
4103112301333011232111
5133243102014001323
62455015335321513
7165045612645141
oct23266177055625
94634263125100
101330131000213
11473118300664
12195956220299
139857a668352
1448543174221
15248ee2c8e43
hex135b1fc5b95

1330131000213 has 40 divisors (see below), whose sum is σ = 2062529061120. Its totient is φ = 853659090720.

The previous prime is 1330131000199. The next prime is 1330131000227. The reversal of 1330131000213 is 3120001310331.

It is a happy number.

1330131000213 is a `hidden beast` number, since 1 + 330 + 1 + 310 + 0 + 0 + 21 + 3 = 666.

It is an interprime number because it is at equal distance from previous prime (1330131000199) and next prime (1330131000227).

It is not a de Polignac number, because 1330131000213 - 226 = 1330063891349 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1330131000613) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2631633 + ... + 3096086.

It is an arithmetic number, because the mean of its divisors is an integer number (51563226528).

Almost surely, 21330131000213 is an apocalyptic number.

It is an amenable number.

1330131000213 is a deficient number, since it is larger than the sum of its proper divisors (732398060907).

1330131000213 is an equidigital number, since it uses as much as digits as its factorization.

1330131000213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5727839 (or 5727830 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 1330131000213 its reverse (3120001310331), we get a palindrome (4450132310544).

The spelling of 1330131000213 in words is "one trillion, three hundred thirty billion, one hundred thirty-one million, two hundred thirteen", and thus it is an aban number.

Divisors: 1 3 9 27 47 61 81 141 183 423 549 1269 1647 2867 3807 4941 8601 25803 77409 232227 5727719 17183157 51549471 154648413 269202793 349390859 463945239 807608379 1048172577 2422825137 3144517731 7268475411 9433553193 16421370373 21805426233 28300659579 49264111119 147792333357 443377000071 1330131000213