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1031101331021 is a prime number
BaseRepresentation
bin11110000000100100110…
…11011011011001001101
310122120110020001201222222
433000102123123121031
5113343143420043041
62105403103545125
7134331436463336
oct17002233333115
93576406051888
101031101331021
11368318903253
12147a018bb1a5
13763038893a8
1437c96c5928d
151bc4bdda74b
hexf0126db64d

1031101331021 has 2 divisors, whose sum is σ = 1031101331022. Its totient is φ = 1031101331020.

The previous prime is 1031101330997. The next prime is 1031101331047. The reversal of 1031101331021 is 1201331011301.

1031101331021 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 993072040900 + 38029290121 = 996530^2 + 195011^2 .

It is a cyclic number.

It is not a de Polignac number, because 1031101331021 - 226 = 1031034222157 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1031101331081) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 515550665510 + 515550665511.

It is an arithmetic number, because the mean of its divisors is an integer number (515550665511).

Almost surely, 21031101331021 is an apocalyptic number.

It is an amenable number.

1031101331021 is a deficient number, since it is larger than the sum of its proper divisors (1).

1031101331021 is an equidigital number, since it uses as much as digits as its factorization.

1031101331021 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 54, while the sum is 17.

Adding to 1031101331021 its reverse (1201331011301), we get a palindrome (2232432342322).

The spelling of 1031101331021 in words is "one trillion, thirty-one billion, one hundred one million, three hundred thirty-one thousand, twenty-one".