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1313241213132 = 223298337109789
BaseRepresentation
bin10011000111000011010…
…001101010100011001100
311122112201001000202220100
4103013003101222203030
5133004004222310012
62443143352451100
7163610225063322
oct23070321524314
94575631022810
101313241213132
11466a40479642
121926219a9a90
1396ab84531b4
14477bdd83d12
15242616228dc
hex131c346a8cc

1313241213132 has 36 divisors (see below), whose sum is σ = 3322959035760. Its totient is φ = 437301741792.

The previous prime is 1313241213103. The next prime is 1313241213143. The reversal of 1313241213132 is 2313121423131.

1313241213132 is a `hidden beast` number, since 1 + 3 + 1 + 324 + 1 + 21 + 313 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 1313241213096 and 1313241213105.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18519507 + ... + 18590282.

It is an arithmetic number, because the mean of its divisors is an integer number (92304417660).

Almost surely, 21313241213132 is an apocalyptic number.

1313241213132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1313241213132 is an abundant number, since it is smaller than the sum of its proper divisors (2009717822628).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1313241213132 is a wasteful number, since it uses less digits than its factorization.

1313241213132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37110782 (or 37110777 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

Adding to 1313241213132 its reverse (2313121423131), we get a palindrome (3626362636263).

The spelling of 1313241213132 in words is "one trillion, three hundred thirteen billion, two hundred forty-one million, two hundred thirteen thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 983 1966 2949 3932 5898 8847 11796 17694 35388 37109789 74219578 111329367 148439156 222658734 333988101 445317468 667976202 1335952404 36478922587 72957845174 109436767761 145915690348 218873535522 328310303283 437747071044 656620606566 1313241213132