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1032131220121 is a prime number
BaseRepresentation
bin11110000010011111101…
…00001001001010011001
310122200002222222112020201
433001033310021022121
5113402301043020441
62110053214022201
7134366113421431
oct17011764111231
93580088875221
101032131220121
113687a7191171
1214804a7a7961
137643905cc21
1437d539472c1
151bcac522c31
hexf04fd09299

1032131220121 has 2 divisors, whose sum is σ = 1032131220122. Its totient is φ = 1032131220120.

The previous prime is 1032131220119. The next prime is 1032131220161. The reversal of 1032131220121 is 1210221312301.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 684691706521 + 347439513600 = 827461^2 + 589440^2 .

It is a cyclic number.

It is not a de Polignac number, because 1032131220121 - 21 = 1032131220119 is a prime.

It is a super-3 number, since 3×10321312201213 (a number of 37 digits) contains 333 as substring.

Together with 1032131220119, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (1032131220161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 516065610060 + 516065610061.

It is an arithmetic number, because the mean of its divisors is an integer number (516065610061).

Almost surely, 21032131220121 is an apocalyptic number.

It is an amenable number.

1032131220121 is a deficient number, since it is larger than the sum of its proper divisors (1).

1032131220121 is an equidigital number, since it uses as much as digits as its factorization.

1032131220121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 1032131220121 its reverse (1210221312301), we get a palindrome (2242352532422).

The spelling of 1032131220121 in words is "one trillion, thirty-two billion, one hundred thirty-one million, two hundred twenty thousand, one hundred twenty-one".