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131102001311121 = 32233717117378419
BaseRepresentation
bin11101110011110010010000…
…001101111010110110010001
3122012012020011212220012020200
4131303302100031322312101
5114140433344313423441
61142455232234325413
736420543544251351
oct3563622015726621
9565166155805220
10131102001311121
1138856056a10955
1212854542b89869
13581cb33b76509
142453529382b61
1510253e5aba7b6
hex773c9037ad91

131102001311121 has 24 divisors (see below), whose sum is σ = 202943638547520. Its totient is φ = 81341782242336.

The previous prime is 131102001311117. The next prime is 131102001311227. The reversal of 131102001311121 is 121113100201131.

131102001311121 is a `hidden beast` number, since 1 + 31 + 1 + 0 + 200 + 1 + 311 + 121 = 666.

It is not a de Polignac number, because 131102001311121 - 22 = 131102001311117 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 131102001311094 and 131102001311103.

It is not an unprimeable number, because it can be changed into a prime (131102001311101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8558681551 + ... + 8558696868.

It is an arithmetic number, because the mean of its divisors is an integer number (8455984939480).

Almost surely, 2131102001311121 is an apocalyptic number.

It is an amenable number.

131102001311121 is a deficient number, since it is larger than the sum of its proper divisors (71841637236399).

131102001311121 is a wasteful number, since it uses less digits than its factorization.

131102001311121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17117378485 (or 17117378482 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 18.

Adding to 131102001311121 its reverse (121113100201131), we get a palindrome (252215101512252).

The spelling of 131102001311121 in words is "one hundred thirty-one trillion, one hundred two billion, one million, three hundred eleven thousand, one hundred twenty-one".

Divisors: 1 3 9 23 37 69 111 207 333 851 2553 7659 17117378419 51352135257 154056405771 393699703637 633343001503 1181099110911 1900029004509 3543297332733 5700087013527 14566889034569 43700667103707 131102001311121