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131201001210132 = 223372611201338411
BaseRepresentation
bin11101110101001110011101…
…000100100100000100010100
3122012112200201100200010212000
4131311032131010210010110
5114144044122302211012
61143012524033555300
736430650055435500
oct3565163504440424
9565480640603760
10131201001210132
1138894039864307
121286b771a15b30
135829280411b09
14245823b66b300
151027c8c103ddc
hex77539d124114

131201001210132 has 288 divisors, whose sum is σ = 402508261572480. Its totient is φ = 36840666240000.

The previous prime is 131201001210131. The next prime is 131201001210151. The reversal of 131201001210132 is 231012100102131.

131201001210132 is a `hidden beast` number, since 1 + 312 + 0 + 10 + 0 + 1 + 210 + 132 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131201001210131) 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, 387528007 + ... + 387866417.

It is an arithmetic number, because the mean of its divisors is an integer number (1397598130460).

Almost surely, 2131201001210132 is an apocalyptic number.

131201001210132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131201001210132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201254130786240).

131201001210132 is an abundant number, since it is smaller than the sum of its proper divisors (271307260362348).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

131201001210132 is a wasteful number, since it uses less digits than its factorization.

131201001210132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339700 (or 339685 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 131201001210132 its reverse (231012100102131), we get a palindrome (362213101312263).

The spelling of 131201001210132 in words is "one hundred thirty-one trillion, two hundred one billion, one million, two hundred ten thousand, one hundred thirty-two".