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13125332001331 = 1161149331396619
BaseRepresentation
bin1011111011111111101011…
…0000000110001000110011
31201110202202221202212112201
42332333322300012020303
53210021134443020311
643525405544204031
72523162651133234
oct276777260061063
951422687685481
1013125332001331
114200470813390
12157b93b169617
13742937725054
143353ab57308b
1517b6477c49c1
hexbeffac06233

13125332001331 has 32 divisors (see below), whose sum is σ = 14695246944000. Its totient is φ = 11622493872000.

The previous prime is 13125332001317. The next prime is 13125332001337. The reversal of 13125332001331 is 13310023352131.

It is a happy number.

It is not a de Polignac number, because 13125332001331 - 215 = 13125331968563 is a prime.

It is a super-2 number, since 2×131253320013312 (a number of 27 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 13125332001331.

It is not an unprimeable number, because it can be changed into a prime (13125332001337) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32894740 + ... + 33291358.

It is an arithmetic number, because the mean of its divisors is an integer number (459226467000).

Almost surely, 213125332001331 is an apocalyptic number.

13125332001331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13125332001331 is a deficient number, since it is larger than the sum of its proper divisors (1569914942669).

13125332001331 is a wasteful number, since it uses less digits than its factorization.

13125332001331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 397171.

The product of its (nonzero) digits is 4860, while the sum is 28.

Adding to 13125332001331 its reverse (13310023352131), we get a palindrome (26435355353462).

The spelling of 13125332001331 in words is "thirteen trillion, one hundred twenty-five billion, three hundred thirty-two million, one thousand, three hundred thirty-one".

Divisors: 1 11 61 149 331 671 1639 3641 9089 20191 49319 99979 222101 396619 542509 3008459 4362809 24193759 33093049 59096231 131280889 266131349 650058541 1444089779 3604870091 8008134229 19560852461 39653571001 88089476519 215169377071 1193212000121 13125332001331