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13213031233131 = 334079119973407
BaseRepresentation
bin1100000001000110011000…
…0010000111011001101011
31201210011010212100110001000
43000101212002013121223
53212440241443430011
644033552135130043
72532416142245622
oct300214602073153
951704125313030
1013213031233131
114234684739254
121594935513923
1374aca2993612
1433972aa826b9
1517da7bb7c356
hexc046608766b

13213031233131 has 16 divisors (see below), whose sum is σ = 19579660185600. Its totient is φ = 8806527894024.

The previous prime is 13213031233091. The next prime is 13213031233133. The reversal of 13213031233131 is 13133213031231.

13213031233131 is a `hidden beast` number, since 1 + 3 + 2 + 1 + 30 + 312 + 3 + 313 + 1 = 666.

It is not a de Polignac number, because 13213031233131 - 211 = 13213031231083 is a prime.

It is a super-2 number, since 2×132130312331312 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 13213031233095 and 13213031233104.

It is not an unprimeable number, because it can be changed into a prime (13213031233133) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59876571 + ... + 60096836.

It is an arithmetic number, because the mean of its divisors is an integer number (1223728761600).

Almost surely, 213213031233131 is an apocalyptic number.

13213031233131 is a deficient number, since it is larger than the sum of its proper divisors (6366628952469).

13213031233131 is a wasteful number, since it uses less digits than its factorization.

13213031233131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119977495 (or 119977489 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

Adding to 13213031233131 its reverse (13133213031231), we get a palindrome (26346244264362).

The spelling of 13213031233131 in words is "thirteen trillion, two hundred thirteen billion, thirty-one million, two hundred thirty-three thousand, one hundred thirty-one".

Divisors: 1 3 9 27 4079 12237 36711 110133 119973407 359920221 1079760663 3239281989 489371527153 1468114581459 4404343744377 13213031233131