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131330033003 = 1321753862487
BaseRepresentation
bin111101001001111100…
…0010100010101101011
3110112222121121220220102
41322103320110111223
54122430442024003
6140155430220015
712326323601411
oct1722370242553
9415877556812
10131330033003
115077341a664
12215521b460b
13c4cc5c6800
1464dbda72b1
1536399d7588
hex1e93e1456b

131330033003 has 24 divisors (see below), whose sum is σ = 153415915488. Its totient is φ = 111943782912.

The previous prime is 131330032993. The next prime is 131330033053. The reversal of 131330033003 is 300330033131.

Adding to 131330033003 its reverse (300330033131), we get a palindrome (431660066134).

It is not a de Polignac number, because 131330033003 - 210 = 131330031979 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (131330033053) 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, 278975 + ... + 583512.

It is an arithmetic number, because the mean of its divisors is an integer number (6392329812).

Almost surely, 2131330033003 is an apocalyptic number.

131330033003 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

131330033003 is a deficient number, since it is larger than the sum of its proper divisors (22085882485).

131330033003 is a wasteful number, since it uses less digits than its factorization.

131330033003 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 862583 (or 862570 counting only the distinct ones).

The product of its (nonzero) digits is 729, while the sum is 20.

The spelling of 131330033003 in words is "one hundred thirty-one billion, three hundred thirty million, thirty-three thousand, three".

Divisors: 1 13 17 53 169 221 689 901 2873 8957 11713 152269 862487 11212331 14662279 45711811 145760303 190609627 594253543 777100787 2477925151 7725296059 10102310231 131330033003