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131114032413 = 371321032511429
BaseRepresentation
bin111101000011100000…
…0010101110100011101
3110112102120011221210120
41322013000111310131
54122010143014123
6140122152425153
712321061613160
oct1720700256435
9415376157716
10131114032413
11506724a9181
12214b19a81b9
13c496929600
1464bb41bad7
153625a6c2e3
hex1e87015d1d

131114032413 has 96 divisors (see below), whose sum is σ = 219467888640. Its totient is φ = 68167008000.

The previous prime is 131114032411. The next prime is 131114032417. The reversal of 131114032413 is 314230411131.

It is a happy number.

It is not a de Polignac number, because 131114032413 - 21 = 131114032411 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131114032411) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 91751583 + ... + 91753011.

It is an arithmetic number, because the mean of its divisors is an integer number (2286123840).

Almost surely, 2131114032413 is an apocalyptic number.

131114032413 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

131114032413 is a deficient number, since it is larger than the sum of its proper divisors (88353856227).

131114032413 is a wasteful number, since it uses less digits than its factorization.

131114032413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1819 (or 1806 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 131114032413 its reverse (314230411131), we get a palindrome (445344443544).

The spelling of 131114032413 in words is "one hundred thirty-one billion, one hundred fourteen million, thirty-two thousand, four hundred thirteen".

Divisors: 1 3 7 13 21 39 91 103 169 251 273 309 507 721 753 1183 1339 1429 1757 2163 3263 3549 4017 4287 5271 9373 9789 10003 17407 18577 22841 25853 28119 30009 42419 52221 55731 68523 77559 121849 127257 130039 147187 180971 241501 296933 336089 358679 365547 390117 441561 542913 724503 890799 1008267 1030309 1076037 1690507 1913431 2352623 2510753 3090927 4369157 4662827 5071521 5740293 7057869 7532259 13107471 13394017 13988481 24874603 30584099 32639789 36943937 40182051 60616751 74623809 91752297 97919367 110831811 174122221 181850253 258607559 424317257 480271181 522366663 775822677 1272951771 1440813543 3361898267 6243525353 10085694801 18730576059 43704677471 131114032413