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1331332011131 = 19130353775983
BaseRepresentation
bin10011010111111001100…
…100100101010001111011
311201021101211001112100212
4103113321210211101323
5133303031443324011
62455334441221335
7165120435243533
oct23277144452173
94637354045325
101331332011131
11473684237971
1219603049184b
139870c4249b5
14486188884c3
152496e96408b
hex135f992547b

1331332011131 has 8 divisors (see below), whose sum is σ = 1402477662720. Its totient is φ = 1260293914152.

The previous prime is 1331332011101. The next prime is 1331332011151. The reversal of 1331332011131 is 1311102331331.

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

It is a cyclic number.

It is not a de Polignac number, because 1331332011131 - 226 = 1331264902267 is a prime.

It is a super-2 number, since 2×13313320111312 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1331332011097 and 1331332011106.

It is not an unprimeable number, because it can be changed into a prime (1331332011101) 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 7 ways as a sum of consecutive naturals, for example, 26863235 + ... + 26912748.

It is an arithmetic number, because the mean of its divisors is an integer number (175309707840).

Almost surely, 21331332011131 is an apocalyptic number.

1331332011131 is a deficient number, since it is larger than the sum of its proper divisors (71145651589).

1331332011131 is a wasteful number, since it uses less digits than its factorization.

1331332011131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53777305.

The product of its (nonzero) digits is 486, while the sum is 23.

Adding to 1331332011131 its reverse (1311102331331), we get a palindrome (2642434342462).

The spelling of 1331332011131 in words is "one trillion, three hundred thirty-one billion, three hundred thirty-two million, eleven thousand, one hundred thirty-one".

Divisors: 1 19 1303 24757 53775983 1021743677 70070105849 1331332011131