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131110333133 = 1363577158633
BaseRepresentation
bin111101000011011001…
…0001110101011001101
3110112102022020000100012
41322012302032223031
54122003221130013
6140121541243005
712321015305123
oct1720662165315
9415368200305
10131110333133
115067040191a
12214b0703465
13c495c328a0
1464bab37913
15362558b1a8
hex1e86c8eacd

131110333133 has 8 divisors (see below), whose sum is σ = 141198854328. Its totient is φ = 121022256384.

The previous prime is 131110333127. The next prime is 131110333199. The reversal of 131110333133 is 331333011131.

It can be written as a sum of positive squares in 4 ways, for example, as 68391141289 + 62719191844 = 261517^2 + 250438^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 131110333133 - 222 = 131106138829 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 131110333099 and 131110333108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131110333633) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 747185 + ... + 905817.

It is an arithmetic number, because the mean of its divisors is an integer number (17649856791).

Almost surely, 2131110333133 is an apocalyptic number.

131110333133 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

131110333133 is a deficient number, since it is larger than the sum of its proper divisors (10088521195).

131110333133 is a wasteful number, since it uses less digits than its factorization.

131110333133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222223.

The product of its (nonzero) digits is 729, while the sum is 23.

Adding to 131110333133 its reverse (331333011131), we get a palindrome (462443344264).

The spelling of 131110333133 in words is "one hundred thirty-one billion, one hundred ten million, three hundred thirty-three thousand, one hundred thirty-three".

Divisors: 1 13 63577 158633 826501 2062229 10085410241 131110333133