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1313021101033 is a prime number
BaseRepresentation
bin10011000110110110001…
…010000000001111101001
311122112010200211220212101
4103012312022000033221
5133003031400213113
62443105451013401
7163601613132145
oct23066612001751
94575120756771
101313021101033
114669381aa114
1219258013a261
1396a81976755
144779ca48225
152424c1442dd
hex131b62803e9

1313021101033 has 2 divisors, whose sum is σ = 1313021101034. Its totient is φ = 1313021101032.

The previous prime is 1313021101027. The next prime is 1313021101043. The reversal of 1313021101033 is 3301011203131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 926450525529 + 386570575504 = 962523^2 + 621748^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1313021101033 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1313021101033.

It is not a weakly prime, because it can be changed into another prime (1313021101013) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 656510550516 + 656510550517.

It is an arithmetic number, because the mean of its divisors is an integer number (656510550517).

Almost surely, 21313021101033 is an apocalyptic number.

It is an amenable number.

1313021101033 is a deficient number, since it is larger than the sum of its proper divisors (1).

1313021101033 is an equidigital number, since it uses as much as digits as its factorization.

1313021101033 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 19.

Adding to 1313021101033 its reverse (3301011203131), we get a palindrome (4614032304164).

The spelling of 1313021101033 in words is "one trillion, three hundred thirteen billion, twenty-one million, one hundred one thousand, thirty-three".