Search a number
-
+
131032311333001 = 13191733106398717
BaseRepresentation
bin11101110010110001010110…
…010111110000000010001001
3122011221120022001220111102221
4131302301112113300002021
5114133313133200124001
61142403225100254041
736412525553231521
oct3562612627600211
9564846261814387
10131032311333001
1138829544818911
1212842b33b41321
1358163a8a28480
14244ddd79cc681
1510236b77e81a1
hex772c565f0089

131032311333001 has 32 divisors (see below), whose sum is σ = 149403580381440. Its totient is φ = 113919786595584.

The previous prime is 131032311332983. The next prime is 131032311333037. The reversal of 131032311333001 is 100333113230131.

It is a cyclic number.

It is not a de Polignac number, because 131032311333001 - 25 = 131032311332969 is a prime.

It is a super-2 number, since 2×1310323113330012 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (131032311336001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1327303695 + ... + 1327402411.

It is an arithmetic number, because the mean of its divisors is an integer number (4668861886920).

Almost surely, 2131032311333001 is an apocalyptic number.

It is an amenable number.

131032311333001 is a deficient number, since it is larger than the sum of its proper divisors (18371269048439).

131032311333001 is a wasteful number, since it uses less digits than its factorization.

131032311333001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129985.

The product of its (nonzero) digits is 1458, while the sum is 25.

Adding to 131032311333001 its reverse (100333113230131), we get a palindrome (231365424563132).

The spelling of 131032311333001 in words is "one hundred thirty-one trillion, thirty-two billion, three hundred eleven million, three hundred thirty-three thousand, one".

Divisors: 1 13 19 173 247 2249 3287 31063 42731 98717 403819 590197 1283321 1875623 5373899 7672561 17078041 24383099 69860687 102104081 222014533 324482779 1327353053 3066446171 4218276127 39863800223 58262477249 530495187583 757412204237 6896437438579 10079408564077 131032311333001