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1031020303013 is a prime number
BaseRepresentation
bin11110000000011011001…
…10010101001010100101
310122120020120121002110122
433000031212111022211
5113343012144144023
62105351051131325
7134326433656151
oct17001546251245
93576216532418
101031020303013
1136828709a758
1214799a743b45
13762bcb5911c
1437c8a1a6061
151bc44c322c8
hexf00d9952a5

1031020303013 has 2 divisors, whose sum is σ = 1031020303014. Its totient is φ = 1031020303012.

The previous prime is 1031020302947. The next prime is 1031020303021. The reversal of 1031020303013 is 3103030201301.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1029214308004 + 1805995009 = 1014502^2 + 42497^2 .

It is a cyclic number.

It is not a de Polignac number, because 1031020303013 - 216 = 1031020237477 is a prime.

It is a super-3 number, since 3×10310203030133 (a number of 37 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1031020302982 and 1031020303000.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1031020303073) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 515510151506 + 515510151507.

It is an arithmetic number, because the mean of its divisors is an integer number (515510151507).

Almost surely, 21031020303013 is an apocalyptic number.

It is an amenable number.

1031020303013 is a deficient number, since it is larger than the sum of its proper divisors (1).

1031020303013 is an equidigital number, since it uses as much as digits as its factorization.

1031020303013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 162, while the sum is 17.

Adding to 1031020303013 its reverse (3103030201301), we get a palindrome (4134050504314).

The spelling of 1031020303013 in words is "one trillion, thirty-one billion, twenty million, three hundred three thousand, thirteen".