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131313232211333 is a prime number
BaseRepresentation
bin11101110110110110111110…
…100011110110110110000101
3122012221102101221002201112012
4131312312332203312312011
5114202413444421230313
61143140244401504005
736442032210263564
oct3566667643666605
9565842357081465
10131313232211333
11389276a1288667
1212889473942005
135836a27ba5c73
14245d846c7bbdb
15102ab59eddda8
hex776dbe8f6d85

131313232211333 has 2 divisors, whose sum is σ = 131313232211334. Its totient is φ = 131313232211332.

The previous prime is 131313232211321. The next prime is 131313232211393. The reversal of 131313232211333 is 333112232313131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 130655370089764 + 657862121569 = 11430458^2 + 811087^2 .

It is a cyclic number.

It is not a de Polignac number, because 131313232211333 - 26 = 131313232211269 is a prime.

It is a super-2 number, since 2×1313132322113332 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 131313232211333.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (131313232211303) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65656616105666 + 65656616105667.

It is an arithmetic number, because the mean of its divisors is an integer number (65656616105667).

Almost surely, 2131313232211333 is an apocalyptic number.

It is an amenable number.

131313232211333 is a deficient number, since it is larger than the sum of its proper divisors (1).

131313232211333 is an equidigital number, since it uses as much as digits as its factorization.

131313232211333 is an evil number, because the sum of its binary digits is even.

The product of its digits is 17496, while the sum is 32.

Adding to 131313232211333 its reverse (333112232313131), we get a palindrome (464425464524464).

The spelling of 131313232211333 in words is "one hundred thirty-one trillion, three hundred thirteen billion, two hundred thirty-two million, two hundred eleven thousand, three hundred thirty-three".