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101333323322131 is a prime number
BaseRepresentation
bin10111000010100110000000…
…101111011001001100010011
3111021210101000112101010210211
4113002212000233121030103
5101240221121232302011
6555303515220504551
730226043134321405
oct2702460057311423
9437711015333724
10101333323322131
112a31924829650a
12b4470b0b4b157
1344708cac92074
141b047b7d32b75
15baada3e7bb21
hex5c2980bd9313

101333323322131 has 2 divisors, whose sum is σ = 101333323322132. Its totient is φ = 101333323322130.

The previous prime is 101333323322123. The next prime is 101333323322173. The reversal of 101333323322131 is 131223323333101.

It is a happy number.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 101333323322131 - 23 = 101333323322123 is a prime.

It is a super-2 number, since 2×1013333233221312 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101333323322093 and 101333323322102.

It is not a weakly prime, because it can be changed into another prime (101333323322731) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50666661661065 + 50666661661066.

It is an arithmetic number, because the mean of its divisors is an integer number (50666661661066).

Almost surely, 2101333323322131 is an apocalyptic number.

101333323322131 is a deficient number, since it is larger than the sum of its proper divisors (1).

101333323322131 is an equidigital number, since it uses as much as digits as its factorization.

101333323322131 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 17496, while the sum is 31.

Adding to 101333323322131 its reverse (131223323333101), we get a palindrome (232556646655232).

The spelling of 101333323322131 in words is "one hundred one trillion, three hundred thirty-three billion, three hundred twenty-three million, three hundred twenty-two thousand, one hundred thirty-one".