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131313220101331 = 1512069420311249
BaseRepresentation
bin11101110110110110111101…
…110101101010010011010011
3122012221102101002022110201121
4131312312331311222103103
5114202413433321220311
61143140243250143111
736442032002325502
oct3566667565522323
9565842332273647
10131313220101331
11389276954671a4
121288946b881a97
135836a25525b98
14245d845408839
15102ab58deab71
hex776dbdd6a4d3

131313220101331 has 8 divisors (see below), whose sum is σ = 132246731700000. Its totient is φ = 130380549129600.

The previous prime is 131313220101313. The next prime is 131313220101341. The reversal of 131313220101331 is 133101022313131.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 131313220101331 - 217 = 131313219970259 is a prime.

It is a super-2 number, since 2×1313132201013312 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 131313220101296 and 131313220101305.

It is not an unprimeable number, because it can be changed into a prime (131313220101341) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 209843206 + ... + 210468043.

It is an arithmetic number, because the mean of its divisors is an integer number (16530841462500).

Almost surely, 2131313220101331 is an apocalyptic number.

131313220101331 is a deficient number, since it is larger than the sum of its proper divisors (933511598669).

131313220101331 is a wasteful number, since it uses less digits than its factorization.

131313220101331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 420313469.

The product of its (nonzero) digits is 972, while the sum is 25.

Adding to 131313220101331 its reverse (133101022313131), we get a palindrome (264414242414462).

The spelling of 131313220101331 in words is "one hundred thirty-one trillion, three hundred thirteen billion, two hundred twenty million, one hundred one thousand, three hundred thirty-one".

Divisors: 1 151 2069 312419 420311249 63466998599 869623974181 131313220101331