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131201330333 is a prime number
BaseRepresentation
bin111101000110000110…
…1010110110010011101
3110112122122110011000212
41322030031112302131
54122200020032313
6140134551502205
712323201623103
oct1721415266235
9415578404025
10131201330333
1150707804417
1221517087965
13c4aba43698
1464c8c63c73
15362d5633a8
hex1e8c356c9d

131201330333 has 2 divisors, whose sum is σ = 131201330334. Its totient is φ = 131201330332.

The previous prime is 131201330257. The next prime is 131201330399. The reversal of 131201330333 is 333033102131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 79997334244 + 51203996089 = 282838^2 + 226283^2 .

It is an emirp because it is prime and its reverse (333033102131) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 131201330333 - 28 = 131201330077 is a prime.

It is a super-2 number, since 2×1312013303332 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 131201330299 and 131201330308.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (131201330033) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65600665166 + 65600665167.

It is an arithmetic number, because the mean of its divisors is an integer number (65600665167).

Almost surely, 2131201330333 is an apocalyptic number.

It is an amenable number.

131201330333 is a deficient number, since it is larger than the sum of its proper divisors (1).

131201330333 is an equidigital number, since it uses as much as digits as its factorization.

131201330333 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1458, while the sum is 23.

Adding to 131201330333 its reverse (333033102131), we get a palindrome (464234432464).

The spelling of 131201330333 in words is "one hundred thirty-one billion, two hundred one million, three hundred thirty thousand, three hundred thirty-three".