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131020133131130 = 2513102013313113
BaseRepresentation
bin11101110010100110000000…
…011111100110001101111010
3122011220101212100110202002012
4131302212000133212031322
5114133113213040144010
61142353452423205522
736411615016226015
oct3562460037461572
9564811770422065
10131020133131130
1138824365512571
12128406b55a68a2
1358151b799c369
14244d5a046437c
1510232035c7005
hex7729807e637a

131020133131130 has 8 divisors (see below), whose sum is σ = 235836239636052. Its totient is φ = 52408053252448.

The previous prime is 131020133131123. The next prime is 131020133131133. The reversal of 131020133131130 is 31131331020131.

131020133131130 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 124370382709609 + 6649750421521 = 11152147^2 + 2578711^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a junction number, because it is equal to n+sod(n) for n = 131020133131096 and 131020133131105.

It is not an unprimeable number, because it can be changed into a prime (131020133131133) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6551006656547 + ... + 6551006656566.

Almost surely, 2131020133131130 is an apocalyptic number.

131020133131130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

131020133131130 is a deficient number, since it is larger than the sum of its proper divisors (104816106504922).

131020133131130 is a wasteful number, since it uses less digits than its factorization.

131020133131130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13102013313120.

The product of its (nonzero) digits is 486, while the sum is 23.

Adding to 131020133131130 its reverse (31131331020131), we get a palindrome (162151464151261).

The spelling of 131020133131130 in words is "one hundred thirty-one trillion, twenty billion, one hundred thirty-three million, one hundred thirty-one thousand, one hundred thirty".

Divisors: 1 2 5 10 13102013313113 26204026626226 65510066565565 131020133131130