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101321332031 is a prime number
BaseRepresentation
bin101111001011100111…
…0001101010100111111
3100200112020221222001002
41132113032031110333
53130001230111111
6114314003440515
710214560053323
oct1362716152477
9320466858032
10101321332031
1139a74283447
121777838613b
1397294a620a
144c92735983
15298024063b
hex179738d53f

101321332031 has 2 divisors, whose sum is σ = 101321332032. Its totient is φ = 101321332030.

The previous prime is 101321332003. The next prime is 101321332043. The reversal of 101321332031 is 130233123101.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-101321332031 is a prime.

It is a super-2 number, since 2×1013213320312 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101321331994 and 101321332012.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101321302031) 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 as a sum of consecutive naturals, namely, 50660666015 + 50660666016.

It is an arithmetic number, because the mean of its divisors is an integer number (50660666016).

Almost surely, 2101321332031 is an apocalyptic number.

101321332031 is a deficient number, since it is larger than the sum of its proper divisors (1).

101321332031 is an equidigital number, since it uses as much as digits as its factorization.

101321332031 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 101321332031 its reverse (130233123101), we get a palindrome (231554455132).

The spelling of 101321332031 in words is "one hundred one billion, three hundred twenty-one million, three hundred thirty-two thousand, thirty-one".