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1311603432133 = 3741221087889
BaseRepresentation
bin10011000101100001101…
…010000001101011000101
311122101110220020212201211
4103011201222001223011
5132442130434312013
62442313045251421
7163521520136521
oct23054152015305
94571426225654
101311603432133
1146627aa42525
12192245403b71
13968b704c907
14476a6656d81
15241b795e23d
hex13161a81ac5

1311603432133 has 12 divisors (see below), whose sum is σ = 1380708509860. Its totient is φ = 1245028907520.

The previous prime is 1311603432127. The next prime is 1311603432151. The reversal of 1311603432133 is 3312343061131.

It can be written as a sum of positive squares in 6 ways, for example, as 3089358724 + 1308514073409 = 55582^2 + 1143903^2 .

It is not a de Polignac number, because 1311603432133 - 25 = 1311603432101 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1311603432095 and 1311603432104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1311603432193) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10481748 + ... + 10606141.

Almost surely, 21311603432133 is an apocalyptic number.

It is an amenable number.

1311603432133 is a deficient number, since it is larger than the sum of its proper divisors (69105077727).

1311603432133 is an equidigital number, since it uses as much as digits as its factorization.

1311603432133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21088008 (or 21087967 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 31.

Adding to 1311603432133 its reverse (3312343061131), we get a palindrome (4623946493264).

The spelling of 1311603432133 in words is "one trillion, three hundred eleven billion, six hundred three million, four hundred thirty-two thousand, one hundred thirty-three".

Divisors: 1 37 41 1517 1681 62197 21087889 780251893 864603449 31990327613 35448741409 1311603432133