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1330321431131 = 71161703280001
BaseRepresentation
bin10011010110111101010…
…101100001101001011011
311201011210101110202012222
4103112331111201221123
5133243444241244011
62455050301054255
7165053414406260
oct23267525415133
94634711422188
101330321431131
11473205848190
121959a9b5738b
13985aac51c74
1448560585267
1524910d92ddb
hex135bd561a5b

1330321431131 has 16 divisors (see below), whose sum is σ = 1658615367168. Its totient is φ = 1036593600000.

The previous prime is 1330321431119. The next prime is 1330321431163. The reversal of 1330321431131 is 1311341230331.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2k-1330321431131 is a prime.

It is a super-2 number, since 2×13303214311312 (a number of 25 digits) contains 22 as substring.

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 1330321431131.

It is not an unprimeable number, because it can be changed into a prime (1330321430131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4611131 + ... + 4891131.

It is an arithmetic number, because the mean of its divisors is an integer number (103663460448).

Almost surely, 21330321431131 is an apocalyptic number.

1330321431131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1330321431131 is a deficient number, since it is larger than the sum of its proper divisors (328293936037).

1330321431131 is a wasteful number, since it uses less digits than its factorization.

1330321431131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341722.

The product of its (nonzero) digits is 1944, while the sum is 26.

Adding to 1330321431131 its reverse (1311341230331), we get a palindrome (2641662661462).

The spelling of 1330321431131 in words is "one trillion, three hundred thirty billion, three hundred twenty-one million, four hundred thirty-one thousand, one hundred thirty-one".

Divisors: 1 7 11 77 61703 280001 431921 678733 1960007 3080011 4751131 21560077 17276901703 120938311921 190045918733 1330321431131