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1231310101131 = 321134403361523
BaseRepresentation
bin10001111010101111110…
…011010001101010001011
311100201020010012001020200
4101322233303101222023
5130133210341214011
62341353412423243
7154650004112505
oct21725763215213
94321203161220
101231310101131
114352174a7530
1217a777317b23
138c15c213676
144384a962d75
152206884c856
hex11eafcd1a8b

1231310101131 has 24 divisors (see below), whose sum is σ = 1940307984576. Its totient is φ = 746224790640.

The previous prime is 1231310101123. The next prime is 1231310101159. The reversal of 1231310101131 is 1311010131321.

1231310101131 is a `hidden beast` number, since 1 + 231 + 310 + 10 + 113 + 1 = 666.

It is not a de Polignac number, because 1231310101131 - 23 = 1231310101123 is a prime.

It is a super-2 number, since 2×12313101011312 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1231310101121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3225136 + ... + 3586658.

It is an arithmetic number, because the mean of its divisors is an integer number (80846166024).

Almost surely, 21231310101131 is an apocalyptic number.

1231310101131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1231310101131 is a deficient number, since it is larger than the sum of its proper divisors (708997883445).

1231310101131 is a wasteful number, since it uses less digits than its factorization.

1231310101131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395943 (or 395940 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

Adding to 1231310101131 its reverse (1311010131321), we get a palindrome (2542320232452).

The spelling of 1231310101131 in words is "one trillion, two hundred thirty-one billion, three hundred ten million, one hundred one thousand, one hundred thirty-one".

Divisors: 1 3 9 11 33 99 34403 103209 309627 361523 378433 1084569 1135299 3253707 3405897 3976753 11930259 35790777 12437475769 37312427307 111937281921 136812233459 410436700377 1231310101131