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10001331031 is a prime number
BaseRepresentation
bin10010101000010000…
…00011001101010111
3221211000021020221211
421110020003031113
5130440320043111
64332231122251
7502561624336
oct112410031527
927730236854
1010001331031
11427254403a
121b31513387
13c35065273
146ac3cbd1d
153d8072521
hex254203357

10001331031 has 2 divisors, whose sum is σ = 10001331032. Its totient is φ = 10001331030.

The previous prime is 10001331001. The next prime is 10001331037. The reversal of 10001331031 is 13013310001.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 10001331031 - 29 = 10001330519 is a prime.

It is a super-2 number, since 2×100013310312 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10001331037) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5000665515 + 5000665516.

It is an arithmetic number, because the mean of its divisors is an integer number (5000665516).

Almost surely, 210001331031 is an apocalyptic number.

10001331031 is a deficient number, since it is larger than the sum of its proper divisors (1).

10001331031 is an equidigital number, since it uses as much as digits as its factorization.

10001331031 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 27, while the sum is 13.

Adding to 10001331031 its reverse (13013310001), we get a palindrome (23014641032).

It can be divided in two parts, 100013 and 31031, that added together give a square (131044 = 3622).

The spelling of 10001331031 in words is "ten billion, one million, three hundred thirty-one thousand, thirty-one".