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1321132201331 = 47591381344987
BaseRepresentation
bin10011001110011001100…
…111011001010101110011
311200022001222022111201112
4103032121213121111303
5133121134320420311
62450530400023535
7164306613265655
oct23163147312563
94608058274645
101321132201331
1146a31a75a898
12194064601bab
1397775218997
1447d2bd926d5
152457428828b
hex133999d9573

1321132201331 has 16 divisors (see below), whose sum is σ = 1373107438080. Its totient is φ = 1270183254240.

The previous prime is 1321132201223. The next prime is 1321132201343. The reversal of 1321132201331 is 1331022311231.

It is a cyclic number.

It is not a de Polignac number, because 1321132201331 - 210 = 1321132200307 is a prime.

It is a super-2 number, since 2×13211322013312 (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 = 1321132201297 and 1321132201306.

It is not an unprimeable number, because it can be changed into a prime (1321132201931) 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, 3657020 + ... + 4002006.

It is an arithmetic number, because the mean of its divisors is an integer number (85819214880).

Almost surely, 21321132201331 is an apocalyptic number.

1321132201331 is a deficient number, since it is larger than the sum of its proper divisors (51975236749).

1321132201331 is a wasteful number, since it uses less digits than its factorization.

1321132201331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346474.

The product of its (nonzero) digits is 648, while the sum is 23.

Adding to 1321132201331 its reverse (1331022311231), we get a palindrome (2652154512562).

The spelling of 1321132201331 in words is "one trillion, three hundred twenty-one billion, one hundred thirty-two million, two hundred one thousand, three hundred thirty-one".

Divisors: 1 47 59 1381 2773 64907 81479 344987 3829513 16214389 20354233 476427047 956648951 22392071209 28109195773 1321132201331