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1221131210313 = 3758149105253
BaseRepresentation
bin10001110001010001000…
…101111000111001001001
311022201221201210211001110
4101301101011320321021
5130001334042212223
62332551355440533
7154136525012130
oct21612105707111
94281851724043
101221131210313
11430973808173
121787b6456149
138b1c9450151
1443162b54917
1521b6ee04d93
hex11c51178e49

1221131210313 has 8 divisors (see below), whose sum is σ = 1860771368128. Its totient is φ = 697789263024.

The previous prime is 1221131210309. The next prime is 1221131210353. The reversal of 1221131210313 is 3130121311221.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 1221131210313 - 22 = 1221131210309 is a prime.

It is a super-3 number, since 3×12211312103133 (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (21), and also a Moran number because the ratio is a prime number: 58149105253 = 1221131210313 / (1 + 2 + 2 + 1 + 1 + 3 + 1 + 2 + 1 + 0 + 3 + 1 + 3).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1221131210313.

It is not an unprimeable number, because it can be changed into a prime (1221131210303) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29074552606 + ... + 29074552647.

It is an arithmetic number, because the mean of its divisors is an integer number (232596421016).

Almost surely, 21221131210313 is an apocalyptic number.

It is an amenable number.

1221131210313 is a deficient number, since it is larger than the sum of its proper divisors (639640157815).

1221131210313 is an equidigital number, since it uses as much as digits as its factorization.

1221131210313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58149105263.

The product of its (nonzero) digits is 216, while the sum is 21.

Adding to 1221131210313 its reverse (3130121311221), we get a palindrome (4351252521534).

The spelling of 1221131210313 in words is "one trillion, two hundred twenty-one billion, one hundred thirty-one million, two hundred ten thousand, three hundred thirteen".

Divisors: 1 3 7 21 58149105253 174447315759 407043736771 1221131210313