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131201001203301 = 33317373237117333
BaseRepresentation
bin11101110101001110011101…
…000100100010011001100101
3122012112200201100122210111000
4131311032131010202121211
5114144044122302001201
61143012524033503513
736430650055406541
oct3565163504423145
9565480640583430
10131201001203301
113889403985a167
121286b771a11b99
13582928040b983
14245823b668a21
151027c8c101d86
hex77539d122665

131201001203301 has 64 divisors (see below), whose sum is σ = 195601504285440. Its totient is φ = 86915964522240.

The previous prime is 131201001203221. The next prime is 131201001203309. The reversal of 131201001203301 is 103302100102131.

131201001203301 is a `hidden beast` number, since 1 + 312 + 0 + 1 + 0 + 0 + 1 + 20 + 330 + 1 = 666.

It is not a de Polignac number, because 131201001203301 - 210 = 131201001202277 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131201001203309) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7569425431 + ... + 7569442763.

It is an arithmetic number, because the mean of its divisors is an integer number (3056273504460).

Almost surely, 2131201001203301 is an apocalyptic number.

It is an amenable number.

131201001203301 is a deficient number, since it is larger than the sum of its proper divisors (64400503082139).

131201001203301 is a wasteful number, since it uses less digits than its factorization.

131201001203301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20403 (or 20397 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 131201001203301 its reverse (103302100102131), we get a palindrome (234503101305432).

The spelling of 131201001203301 in words is "one hundred thirty-one trillion, two hundred one billion, one million, two hundred three thousand, three hundred one".

Divisors: 1 3 9 27 317 373 951 1119 2371 2853 3357 7113 8559 10071 17333 21339 51999 64017 118241 155997 354723 467991 751607 884383 1064169 2254821 2653149 3192507 5494561 6465209 6764463 7959447 16483683 19395627 20293389 23878341 41096543 49451049 58186881 123289629 148353147 174560643 280349411 369868887 841048233 1109606661 2049471253 2523144699 6148413759 7569434097 13027604131 15329010539 18445241277 39082812393 45987031617 55335723831 117248437179 137961094851 351745311537 413883284553 4859296340863 14577889022589 43733667067767 131201001203301