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101132331321 = 37414040307
BaseRepresentation
bin101111000101111110…
…1001110100100111001
3100200001002022201210210
41132023331032210321
53124104334100241
6114243132501333
710210103430000
oct1361375164471
9320032281723
10101132331321
113998762340a
121772501a849
1396c92a0588
144c755b7c37
15296d85a316
hex178bf4e939

101132331321 has 20 divisors (see below), whose sum is σ = 157307610832. Its totient is φ = 57789899496.

The previous prime is 101132331319. The next prime is 101132331323. The reversal of 101132331321 is 123133231101.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (101132331319) and next prime (101132331323).

It is not a de Polignac number, because 101132331321 - 21 = 101132331319 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101132331323) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 7012951 + ... + 7027356.

Almost surely, 2101132331321 is an apocalyptic number.

It is an amenable number.

101132331321 is a deficient number, since it is larger than the sum of its proper divisors (56175279511).

101132331321 is an frugal number, since it uses more digits than its factorization.

101132331321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14040338 (or 14040317 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 101132331321 its reverse (123133231101), we get a palindrome (224265562422).

The spelling of 101132331321 in words is "one hundred one billion, one hundred thirty-two million, three hundred thirty-one thousand, three hundred twenty-one".

Divisors: 1 3 7 21 49 147 343 1029 2401 7203 14040307 42120921 98282149 294846447 687975043 2063925129 4815825301 14447475903 33710777107 101132331321