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1311320453121 = 32766913110837
BaseRepresentation
bin10011000101010000110…
…010100011000000000001
311122100202011210001111200
4103011100302203000001
5132441041013444441
62442225020131413
7163511512641030
oct23052062430001
94570664701450
101311320453121
11466145234178
12192186696b69
1396870531303
144767ac34717
152419cbb37b6
hex13150ca3001

1311320453121 has 24 divisors (see below), whose sum is σ = 2165043701184. Its totient is φ = 749213742240.

The previous prime is 1311320453117. The next prime is 1311320453137. The reversal of 1311320453121 is 1213540231131.

1311320453121 is a `hidden beast` number, since 1 + 311 + 32 + 0 + 4 + 5 + 312 + 1 = 666.

It is not a de Polignac number, because 1311320453121 - 22 = 1311320453117 is a prime.

It is a super-2 number, since 2×13113204531212 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1311320453161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1133886 + ... + 1976951.

It is an arithmetic number, because the mean of its divisors is an integer number (90210154216).

Almost surely, 21311320453121 is an apocalyptic number.

It is an amenable number.

1311320453121 is a deficient number, since it is larger than the sum of its proper divisors (853723248063).

1311320453121 is a wasteful number, since it uses less digits than its factorization.

1311320453121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3117541 (or 3117538 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

Adding to 1311320453121 its reverse (1213540231131), we get a palindrome (2524860684252).

The spelling of 1311320453121 in words is "one trillion, three hundred eleven billion, three hundred twenty million, four hundred fifty-three thousand, one hundred twenty-one".

Divisors: 1 3 7 9 21 63 6691 20073 46837 60219 140511 421533 3110837 9332511 21775859 27997533 65327577 195982731 20814610367 62443831101 145702272569 187331493303 437106817707 1311320453121