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1200101213313 = 321117119377421
BaseRepresentation
bin10001011101101011100…
…110110100010010000001
311020201200010011021112200
4101131223212310102001
5124130301402311223
62315152513543413
7152463425000412
oct21355346642201
94221603137480
101200101213313
11422a61937162
12174707574b69
1389227564842
1442129b53809
152133da2ea43
hex1176b9b4481

1200101213313 has 12 divisors (see below), whose sum is σ = 1735031451348. Its totient is φ = 799351204320.

The previous prime is 1200101213293. The next prime is 1200101213317. The reversal of 1200101213313 is 3133121010021.

1200101213313 is a `hidden beast` number, since 1 + 200 + 10 + 121 + 331 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 596274307344 + 603826905969 = 772188^2 + 777063^2 .

It is not a de Polignac number, because 1200101213313 - 220 = 1200100164737 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1200101213317) 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, 59678658 + ... + 59698763.

It is an arithmetic number, because the mean of its divisors is an integer number (144585954279).

Almost surely, 21200101213313 is an apocalyptic number.

It is an amenable number.

1200101213313 is a deficient number, since it is larger than the sum of its proper divisors (534930238035).

1200101213313 is a wasteful number, since it uses less digits than its factorization.

1200101213313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119378544 (or 119378541 counting only the distinct ones).

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

Adding to 1200101213313 its reverse (3133121010021), we get a palindrome (4333222223334).

The spelling of 1200101213313 in words is "one trillion, two hundred billion, one hundred one million, two hundred thirteen thousand, three hundred thirteen".

Divisors: 1 3 9 1117 3351 10053 119377421 358132263 1074396789 133344579257 400033737771 1200101213313